GCF for 42 and 70

What is the Greatest common Divisor of 42 and 70?

Answer: GCF of 42 and 70 is 14

(Fourteen)

Finding GCF for 42 and 70 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 70 is to list all factors for both numbers and pick the highest common one:

All factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

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

So the Greatest Common Factor for 42 and 70 is 14

Finding GCF for 42 and 70 by Prime Factorization

The second method to find GCF for numbers 42 and 70 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 42: 2, 3, 7

All Prime Factors of 70: 2, 5, 7

As we can see there are Prime Factors common to both numbers: 2, 7

Now we need to multiply them to find GCF: 2 × 7 = 14

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 42 and 70? (The answer is: 14). Select the first number (e.g. '42') 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

GCF Table

Number 1Number 2GCF
2770
2870
29701
3070
31701
32702
33701
34702
3570
3670
37701
38702
39701
4070
41701
4270
43701
44702
4570
46702
47701
4870
49707
5070
51701
52702
53701
54702
55705
5670

FAQ

What is the Greatest common Divisor of 42 and 70?

GCF of 42 and 70 is 14