# Greatest Common Factor of 45 and 55

Greatest common factor (GCF) of 45 and 55 is **5**.

GCF(45,55) = 5

We will now calculate the prime factors of **45 and 55**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 45 and 55.

## Prime Factorization of 45

Prime factors of 45 are 3, 5. Prime factorization of **45** in exponential form is:

45 = 3^{2} × 5^{1}

## Prime Factorization of 55

Prime factors of 55 are 5, 11. Prime factorization of **55** in exponential form is:

55 = 5^{1} × 11^{1}

### Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15

### Factors of 55

List of positive integer factors of 55 that divides 45 without a remainder.

1, 5, 11

### Greatest Common Factor

We found the factors and prime factorization of 45 and 55. The biggest common factor number is the **GCF** number.

So the **greatest common factor 45 and 55** is **5**.

Also check out the Least Common Multiple of 45 and 55

## Recent Comments

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