GCF for 10 and 64

What is the Greatest Common Factor of 10 and 64?

Answer: GCF of 10 and 64 is 2

(Two)

Finding GCF for 10 and 64 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 64 is to list all factors for both numbers and pick the highest common one:

All factors of 10: 1, 2, 5, 10

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

So the Greatest Common Factor for 10 and 64 is 2

Finding GCF for 10 and 64 by Prime Factorization

The second method to find GCF for numbers 10 and 64 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 10: 2, 5

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

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 10 and 64

Related Calculations

GCF Table

Number 1Number 2GCF
1641
2642
3641
4644
5641
6642
7641
8648
964
10642
11641
1264
13641
14642
1564
1664
17641
1864
19641
2064
21641
22642
23641
2464
25641
26642
2764
2864
29641
3064

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 Factor of 10 and 64? (The answer is: 2). Select the first number (e.g. '10') 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

FAQ

What is the Greatest Common Factor of 10 and 64?

GCF of 10 and 64 is 2