# Greatest Common Factor of 35 and 40

Greatest common factor (GCF) of 35 and 40 is **5**.

GCF(35,40) = 5

We will now calculate the prime factors of **35 and 40**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 35 and 40.

## Prime Factorization of 35

Prime factors of 35 are 5, 7. Prime factorization of **35** in exponential form is:

35 = 5^{1} × 7^{1}

## Prime Factorization of 40

Prime factors of 40 are 2, 5. Prime factorization of **40** in exponential form is:

40 = 2^{3} × 5^{1}

### Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1, 5, 7

### Factors of 40

List of positive integer factors of 40 that divides 35 without a remainder.

1, 2, 4, 5, 8, 10, 20

### Greatest Common Factor

We found the factors and prime factorization of 35 and 40. The biggest common factor number is the **GCF** number.

So the **greatest common factor 35 and 40** is **5**.

Also check out the Least Common Multiple of 35 and 40