What is the Greatest Common Factor of 59518 and 59524?

Greatest common factor (GCF) of 59518 and 59524 is 2.

GCF(59518,59524) = 2

We will now calculate the prime factors of 59518 and 59524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59518 and 59524.

How to find the GCF of 59518 and 59524?

We will first find the prime factorization of 59518 and 59524. After we will calculate the factors of 59518 and 59524 and find the biggest common factor number .

Step-1: Prime Factorization of 59518

Prime factors of 59518 are 2, 29759. Prime factorization of 59518 in exponential form is:

59518 = 2¹ × 29759¹

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 59518

List of positive integer factors of 59518 that divides 59518 without a remainder.

1, 2, 29759

Step-4: Factors of 59524

List of positive integer factors of 59524 that divides 59518 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 59518 and 59524. The biggest common factor number is the GCF number.
So the greatest common factor 59518 and 59524 is 2.

Also check out the Least Common Multiple of 59518 and 59524