# Greatest Common Factor of 42 and 70

Greatest common factor (GCF) of 42 and 70 is **14**.

GCF(42,70) = 14

We will now calculate the prime factors of **42 and 70**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 42 and 70.

## Prime Factorization of 42

Prime factors of 42 are 2, 3, 7. Prime factorization of **42** in exponential form is:

42 = 2^{1} × 3^{1} × 7^{1}

## Prime Factorization of 70

Prime factors of 70 are 2, 5, 7. Prime factorization of **70** in exponential form is:

70 = 2^{1} × 5^{1} × 7^{1}

### Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21

### Factors of 70

List of positive integer factors of 70 that divides 42 without a remainder.

1, 2, 5, 7, 10, 14, 35

### Greatest Common Factor

We found the factors and prime factorization of 42 and 70. The biggest common factor number is the **GCF** number.

So the **greatest common factor 42 and 70** is **14**.

Also check out the Least Common Multiple of 42 and 70

## Recent Comments

Working on GCF and LCM at 9 at night is hard so this really helps

this really helped me

This really helped me and thanks for your help I’d love to talk some more and get a bit more help if that’s okay. Regards Gilbert