GCF for 60 and 64

What is the Greatest common Divisor of 60 and 64?

Answer: GCF of 60 and 64 is 4

(Four)

Finding GCF for 60 and 64 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 64 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 64: 1, 2, 4, 8, 16, 32, 64

So the Greatest Common Factor for 60 and 64 is 4

Finding GCF for 60 and 64 by Prime Factorization

The second method to find GCF for numbers 60 and 64 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 64: 2, 2, 2, 2, 2, 2

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

Now we need to multiply them to find GCF: 2 × 2 = 4

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 60 and 64? (The answer is: 4). Select the first number (e.g. '60') and the second number (e.g. '64'). 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

GCF Table

Number 1Number 2GCF
45641
46642
47641
4864
4964
50642
51641
5264
53641
5464
55641
5664
57641
58642
59641
6064
61641
62642
63641
646464
65641
66642
67641
68644
69641
70642
71641
72648
73641
74642

FAQ

What is the Greatest common Divisor of 60 and 64?

GCF of 60 and 64 is 4