GCF of 60 and 66 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 60 and 66?

Answer

GCF of 60 and 66 is
6

(Six)

Finding GCF for 60 and 66 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 66 is to list all factors for both numbers and pick the highest common one:

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

All factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

So the Greatest Common Factor for 60 and 66 is 6

Finding GCF for 60 and 66 by Prime Factorization

The second method to find GCF for numbers 60 and 66 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 60: 2, 2, 3, 5

All Prime Factors of 66: 2, 3, 11

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

Now we need to multiply them to find GCF: 2 × 3 = 6

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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 60 and 66? (The answer is: 6). Select the first number (e.g. '60') and the second number (e.g. '66'). 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
606060
60666
607010
607212
607515
608020
609030
6010020
6010515
6010812
6011010
601155
6012060
6013212
6013515
6014020
601455
6015030
6016515
6017010
601755
6018060
601855
6019515
6020020
602055
6021030
602155
6022020
6022515

FAQ

What is the Greatest Common Divisor of 60 and 66?

GCF of 60 and 66 is 6

How to find the GCF of 60 and 66?

You can find the GCF of 60 and 66 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 66 is 6.

What prime factors do 60 and 66 share?

The prime factorizations of 60 and 66 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 60/66?

Divide the numerator and the denominator by the GCF 6: 60 ÷ 6 = 10 and 66 ÷ 6 = 11. So 60/66 in lowest terms is 10/11.

See Also