GCF of 64 and 80 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 64 and 80?

Answer

GCF of 64 and 80 is
16

(Sixteen)

Finding GCF for 64 and 80 using all factors (divisors) listing

The first method to find GCF for numbers 64 and 80 is to list all factors for both numbers and pick the highest common one:

All factors of 64: 1, 2, 4, 8, 16, 32, 64

All factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

So the Greatest Common Factor for 64 and 80 is 16

Finding GCF for 64 and 80 by Prime Factorization

The second method to find GCF for numbers 64 and 80 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 64: 2, 2, 2, 2, 2, 2

All Prime Factors of 80: 2, 2, 2, 2, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 = 16

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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 64 and 80? (The answer is: 16). Select the first number (e.g. '64') and the second number (e.g. '80'). 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
64651
64662
64671
64684
64691
64702
64711
64728
64731
64742
64751
64764
64771
64782
64791
648016
64811
64822
64831
64844
64851
64862
64871
64888
64891
64902
64911
64924
64931
64942

FAQ

What is the Greatest Common Divisor of 64 and 80?

GCF of 64 and 80 is 16

How to find the GCF of 64 and 80?

You can find the GCF of 64 and 80 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 64 and 80 is 16.

What prime factors do 64 and 80 share?

The prime factorizations of 64 and 80 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

How does the GCF reduce the fraction 64/80?

Divide the numerator and the denominator by the GCF 16: 64 ÷ 16 = 4 and 80 ÷ 16 = 5. So 64/80 in lowest terms is 4/5.

See Also