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GCF of 90 and 120 (Greatest Common Factor)

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 90 and 120?

Answer

GCF of 90 and 120 is

(Thirty)

Finding GCF for 90 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 120 is to list all factors for both numbers and pick the highest common one:

All factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

So the Greatest Common Factor for 90 and 120 is 30

Finding GCF for 90 and 120 by Prime Factorization

The second method to find GCF for numbers 90 and 120 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 90: 2, 3, 3, 5

All Prime Factors of 120: 2, 2, 2, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

Found an error in the calculation or the information?

Related Calculations

GCF Table

Number 1	Number 2	GCF
90	100	10
90	105	15
90	110	10
90	115	5
90	120	30
90	135	45
90	140	10
90	145	5
90	150	30
90	155	5
90	160	10
90	165	15
90	180	90
90	185	5
90	200	10
90	210	30
90	215	5
90	220	10
90	235	5
90	245	5
90	250	10
90	255	15
90	265	5
90	270	90
90	275	5
90	280	10
90	285	15
90	290	10
90	295	5
90	305	5

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 90 and 120? (The answer is: 30). Select the first number (e.g. '90') and the second number (e.g. '120'). After that hit the 'Calculate' button.

Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.

"Greatest Common Factor" Calculator

FAQ

What is the Greatest Common Divisor of 90 and 120?

GCF of 90 and 120 is 30

How to find the GCF of 90 and 120?

You can find the GCF of 90 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 120 is 30.

What prime factors do 90 and 120 share?

The prime factorizations of 90 and 120 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

How does the GCF reduce the fraction 90/120?

Divide the numerator and the denominator by the GCF 30: 90 ÷ 30 = 3 and 120 ÷ 30 = 4. So 90/120 in lowest terms is 3/4.

GCF of 90 and 120 (Greatest Common Factor)

What is the Greatest Common Divisor of 90 and 120?

Finding GCF for 90 and 120 using all factors (divisors) listing

Finding GCF for 90 and 120 by Prime Factorization

Related Calculations

See Also

GCF Table

About "Greatest Common Factor" Calculator

FAQ

What is the Greatest Common Divisor of 90 and 120?

How to find the GCF of 90 and 120?

What prime factors do 90 and 120 share?

How does the GCF reduce the fraction 90/120?

See Also

Number 1	Number 2	GCF
90	100	10
90	105	15
90	110	10
90	115	5
90	120	30
90	135	45
90	140	10
90	145	5
90	150	30
90	155	5
90	160	10
90	165	15
90	180	90
90	185	5
90	200	10
90	210	30
90	215	5
90	220	10
90	235	5
90	245	5
90	250	10
90	255	15
90	265	5
90	270	90
90	275	5
90	280	10
90	285	15
90	290	10
90	295	5
90	305	5

Number 1	Number 2	GCF
90	100	10
90	105	15
90	110	10
90	115	5
90	120	30
90	135	45
90	140	10
90	145	5
90	150	30
90	155	5
90	160	10
90	165	15
90	180	90
90	185	5
90	200	10
90	210	30
90	215	5
90	220	10
90	235	5
90	245	5
90	250	10
90	255	15
90	265	5
90	270	90
90	275	5
90	280	10
90	285	15
90	290	10
90	295	5
90	305	5

Number 1	Number 2	GCF
90	100	10
90	105	15
90	110	10
90	115	5
90	120	30
90	135	45
90	140	10
90	145	5
90	150	30
90	155	5
90	160	10
90	165	15
90	180	90
90	185	5
90	200	10
90	210	30
90	215	5
90	220	10
90	235	5
90	245	5
90	250	10
90	255	15
90	265	5
90	270	90
90	275	5
90	280	10
90	285	15
90	290	10
90	295	5
90	305	5