What is the Greatest Common Factor of 58476 and 58488?

Greatest common factor (GCF) of 58476 and 58488 is 12.

GCF(58476,58488) = 12

We will now calculate the prime factors of 58476 and 58488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58476 and 58488.

How to find the GCF of 58476 and 58488?

We will first find the prime factorization of 58476 and 58488. After we will calculate the factors of 58476 and 58488 and find the biggest common factor number .

Step-1: Prime Factorization of 58476

Prime factors of 58476 are 2, 3, 11, 443. Prime factorization of 58476 in exponential form is:

58476 = 2² × 3¹ × 11¹ × 443¹

Step-2: Prime Factorization of 58488

Prime factors of 58488 are 2, 3, 2437. Prime factorization of 58488 in exponential form is:

58488 = 2³ × 3¹ × 2437¹

Step-3: Factors of 58476

List of positive integer factors of 58476 that divides 58476 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 443, 886, 1329, 1772, 2658, 4873, 5316, 9746, 14619, 19492, 29238

Step-4: Factors of 58488

List of positive integer factors of 58488 that divides 58476 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2437, 4874, 7311, 9748, 14622, 19496, 29244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58476 and 58488. The biggest common factor number is the GCF number.
So the greatest common factor 58476 and 58488 is 12.

Also check out the Least Common Multiple of 58476 and 58488