What is the Greatest Common Factor of 58524 and 58544?

Greatest common factor (GCF) of 58524 and 58544 is 4.

GCF(58524,58544) = 4

We will now calculate the prime factors of 58524 and 58544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58524 and 58544.

How to find the GCF of 58524 and 58544?

We will first find the prime factorization of 58524 and 58544. After we will calculate the factors of 58524 and 58544 and find the biggest common factor number .

Step-1: Prime Factorization of 58524

Prime factors of 58524 are 2, 3, 4877. Prime factorization of 58524 in exponential form is:

58524 = 2² × 3¹ × 4877¹

Step-2: Prime Factorization of 58544

Prime factors of 58544 are 2, 3659. Prime factorization of 58544 in exponential form is:

58544 = 2⁴ × 3659¹

Step-3: Factors of 58524

List of positive integer factors of 58524 that divides 58524 without a remainder.

1, 2, 3, 4, 6, 12, 4877, 9754, 14631, 19508, 29262

Step-4: Factors of 58544

List of positive integer factors of 58544 that divides 58524 without a remainder.

1, 2, 4, 8, 16, 3659, 7318, 14636, 29272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58524 and 58544. The biggest common factor number is the GCF number.
So the greatest common factor 58524 and 58544 is 4.

Also check out the Least Common Multiple of 58524 and 58544