GCF of 64 and 32 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 64 and 32?

Answer

GCF of 64 and 32 is
32

(Thirty-two)

Finding GCF for 64 and 32 using all factors (divisors) listing

The first method to find GCF for numbers 64 and 32 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 32: 1, 2, 4, 8, 16, 32

So the Greatest Common Factor for 64 and 32 is 32

Finding GCF for 64 and 32 by Prime Factorization

The second method to find GCF for numbers 64 and 32 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 32: 2, 2, 2, 2, 2

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 × 2 = 32

Related Calculations

See Also

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 32? (The answer is: 32). Select the first number (e.g. '64') and the second number (e.g. '32'). 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
64171
64182
64191
64204
64211
64222
64231
64248
64251
64262
64271
64284
64291
64302
64311
643232
64331
64342
64351
64364
64371
64382
64391
64408
64411
64422
64431
64444
64451
64462

FAQ

What is the Greatest Common Divisor of 64 and 32?

GCF of 64 and 32 is 32

How to find the GCF of 64 and 32?

You can find the GCF of 64 and 32 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 64 and 32 is 32.

What prime factors do 64 and 32 share?

The prime factorizations of 64 and 32 have 2 × 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 32 — exactly the greatest common factor.

How does the GCF reduce the fraction 64/32?

Divide the numerator and the denominator by the GCF 32: 64 ÷ 32 = 2 and 32 ÷ 32 = 1. So 64/32 in lowest terms is 2/1.

See Also