GCF for 32 and 70

What is the Greatest Common Factor of 32 and 70?

Answer: GCF of 32 and 70 is 2

(Two)

Finding GCF for 32 and 70 using all factors (divisors) listing

The first method to find GCF for numbers 32 and 70 is to list all factors for both numbers and pick the highest common one:

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

All factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

So the Greatest Common Factor for 32 and 70 is 2

Finding GCF for 32 and 70 by Prime Factorization

The second method to find GCF for numbers 32 and 70 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 32: 2, 2, 2, 2, 2

All Prime Factors of 70: 2, 5, 7

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 32 and 70

Related Calculations

GCF Table

Number 1Number 2GCF
17701
18702
19701
2070
2170
22702
23701
24702
2570
26702
2770
2870
29701
3070
31701
32702
33701
34702
3570
3670
37701
38702
39701
4070
41701
4270
43701
44702
45705
46702

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 32 and 70? (The answer is: 2). Select the first number (e.g. '32') and the second number (e.g. '70'). 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 32 and 70?

GCF of 32 and 70 is 2