# Greatest Common Factor of 42 and 50

Greatest common factor (GCF) of 42 and 50 is **2**.

GCF(42,50) = 2

We will now calculate the prime factors of **42 and 50**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 42 and 50.

## 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 50

Prime factors of 50 are 2, 5. Prime factorization of **50** in exponential form is:

50 = 2^{1} × 5^{2}

### 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 50

List of positive integer factors of 50 that divides 42 without a remainder.

1, 2, 5, 10, 25

### Greatest Common Factor

We found the factors and prime factorization of 42 and 50. The biggest common factor number is the **GCF** number.

So the **greatest common factor 42 and 50** is **2**.

Also check out the Least Common Multiple of 42 and 50

## Recent Comments

Can you do it as a Lower Common Factors website since I'm a student and I don't have access to a lo tof things so please.