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GCF of 72 and 96 (Greatest Common Factor)

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 72 and 96?

Answer

GCF of 72 and 96 is

(Twenty-four)

Finding GCF for 72 and 96 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 96 is to list all factors for both numbers and pick the highest common one:

All factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

All factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

So the Greatest Common Factor for 72 and 96 is 24

Finding GCF for 72 and 96 by Prime Factorization

The second method to find GCF for numbers 72 and 96 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 72: 2, 2, 2, 3, 3

All Prime Factors of 96: 2, 2, 2, 2, 2, 3

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 = 24

Found an error in the calculation or the information?

Related Calculations

GCF Table

Number 1	Number 2	GCF
72	81	9
72	82	2
72	83	1
72	84	12
72	85	1
72	86	2
72	87	3
72	88	8
72	89	1
72	90	18
72	91	1
72	92	4
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2

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 72 and 96? (The answer is: 24). Select the first number (e.g. '72') and the second number (e.g. '96'). 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 72 and 96?

GCF of 72 and 96 is 24

How to find the GCF of 72 and 96?

You can find the GCF of 72 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 96 is 24.

What prime factors do 72 and 96 share?

The prime factorizations of 72 and 96 have 2 × 2 × 2 × 3 in common, and multiplying those shared primes gives 24 — exactly the greatest common factor.

How does the GCF reduce the fraction 72/96?

Divide the numerator and the denominator by the GCF 24: 72 ÷ 24 = 3 and 96 ÷ 24 = 4. So 72/96 in lowest terms is 3/4.

GCF of 72 and 96 (Greatest Common Factor)

What is the Greatest Common Divisor of 72 and 96?

Finding GCF for 72 and 96 using all factors (divisors) listing

Finding GCF for 72 and 96 by Prime Factorization

Related Calculations

See Also

GCF Table

About "Greatest Common Factor" Calculator

FAQ

What is the Greatest Common Divisor of 72 and 96?

How to find the GCF of 72 and 96?

What prime factors do 72 and 96 share?

How does the GCF reduce the fraction 72/96?

See Also

Number 1	Number 2	GCF
72	81	9
72	82	2
72	83	1
72	84	12
72	85	1
72	86	2
72	87	3
72	88	8
72	89	1
72	90	18
72	91	1
72	92	4
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2

Number 1	Number 2	GCF
72	81	9
72	82	2
72	83	1
72	84	12
72	85	1
72	86	2
72	87	3
72	88	8
72	89	1
72	90	18
72	91	1
72	92	4
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2

Number 1	Number 2	GCF
72	81	9
72	82	2
72	83	1
72	84	12
72	85	1
72	86	2
72	87	3
72	88	8
72	89	1
72	90	18
72	91	1
72	92	4
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2