What is the Greatest Common Factor of 59516 and 59524?

Greatest common factor (GCF) of 59516 and 59524 is 4.

GCF(59516,59524) = 4

We will now calculate the prime factors of 59516 and 59524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59516 and 59524.

How to find the GCF of 59516 and 59524?

We will first find the prime factorization of 59516 and 59524. After we will calculate the factors of 59516 and 59524 and find the biggest common factor number .

Step-1: Prime Factorization of 59516

Prime factors of 59516 are 2, 14879. Prime factorization of 59516 in exponential form is:

59516 = 2² × 14879¹

Step-2: Prime Factorization of 59524

Prime factors of 59524 are 2, 23, 647. Prime factorization of 59524 in exponential form is:

59524 = 2² × 23¹ × 647¹

Step-3: Factors of 59516

List of positive integer factors of 59516 that divides 59516 without a remainder.

1, 2, 4, 14879, 29758

Step-4: Factors of 59524

List of positive integer factors of 59524 that divides 59516 without a remainder.

1, 2, 4, 23, 46, 92, 647, 1294, 2588, 14881, 29762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59516 and 59524. The biggest common factor number is the GCF number.
So the greatest common factor 59516 and 59524 is 4.

Also check out the Least Common Multiple of 59516 and 59524