What is the Greatest Common Factor of 58707 and 58718?

Greatest common factor (GCF) of 58707 and 58718 is 11.

GCF(58707,58718) = 11

We will now calculate the prime factors of 58707 and 58718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58707 and 58718.

How to find the GCF of 58707 and 58718?

We will first find the prime factorization of 58707 and 58718. After we will calculate the factors of 58707 and 58718 and find the biggest common factor number .

Step-1: Prime Factorization of 58707

Prime factors of 58707 are 3, 11, 593. Prime factorization of 58707 in exponential form is:

58707 = 3² × 11¹ × 593¹

Step-2: Prime Factorization of 58718

Prime factors of 58718 are 2, 11, 17, 157. Prime factorization of 58718 in exponential form is:

58718 = 2¹ × 11¹ × 17¹ × 157¹

Step-3: Factors of 58707

List of positive integer factors of 58707 that divides 58707 without a remainder.

1, 3, 9, 11, 33, 99, 593, 1779, 5337, 6523, 19569

Step-4: Factors of 58718

List of positive integer factors of 58718 that divides 58707 without a remainder.

1, 2, 11, 17, 22, 34, 157, 187, 314, 374, 1727, 2669, 3454, 5338, 29359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58707 and 58718. The biggest common factor number is the GCF number.
So the greatest common factor 58707 and 58718 is 11.

Also check out the Least Common Multiple of 58707 and 58718