GCF of 300 and 180 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 300 and 180?

Answer

GCF of 300 and 180 is
60

(Sixty)

Finding GCF for 300 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 300 and 180 is to list all factors for both numbers and pick the highest common one:

All factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

All factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

So the Greatest Common Factor for 300 and 180 is 60

Finding GCF for 300 and 180 by Prime Factorization

The second method to find GCF for numbers 300 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 300: 2, 2, 3, 5, 5

All Prime Factors of 180: 2, 2, 3, 3, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 3 × 5 = 60

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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 300 and 180? (The answer is: 60). Select the first number (e.g. '300') and the second number (e.g. '180'). 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

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
30016515
3001662
3001671
30016812
3001691
30017010
3001713
3001724
3001731
3001746
30017525
3001764
3001773
3001782
3001791
30018060
3001811
3001822
3001833
3001844
3001855
3001866
3001871
3001884
3001893
30019010
3001911
30019212
3001931
3001942

FAQ

What is the Greatest Common Divisor of 300 and 180?

GCF of 300 and 180 is 60

How to find the GCF of 300 and 180?

You can find the GCF of 300 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 300 and 180 is 60.

What prime factors do 300 and 180 share?

The prime factorizations of 300 and 180 have 2 × 2 × 3 × 5 in common, and multiplying those shared primes gives 60 — exactly the greatest common factor.

How does the GCF reduce the fraction 300/180?

Divide the numerator and the denominator by the GCF 60: 300 ÷ 60 = 5 and 180 ÷ 60 = 3. So 300/180 in lowest terms is 5/3.

See Also