What is the Greatest Common Factor of 58508 and 58512?

Greatest common factor (GCF) of 58508 and 58512 is 4.

GCF(58508,58512) = 4

We will now calculate the prime factors of 58508 and 58512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58508 and 58512.

How to find the GCF of 58508 and 58512?

We will first find the prime factorization of 58508 and 58512. After we will calculate the factors of 58508 and 58512 and find the biggest common factor number .

Step-1: Prime Factorization of 58508

Prime factors of 58508 are 2, 14627. Prime factorization of 58508 in exponential form is:

58508 = 2² × 14627¹

Step-2: Prime Factorization of 58512

Prime factors of 58512 are 2, 3, 23, 53. Prime factorization of 58512 in exponential form is:

58512 = 2⁴ × 3¹ × 23¹ × 53¹

Step-3: Factors of 58508

List of positive integer factors of 58508 that divides 58508 without a remainder.

1, 2, 4, 14627, 29254

Step-4: Factors of 58512

List of positive integer factors of 58512 that divides 58508 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 53, 69, 92, 106, 138, 159, 184, 212, 276, 318, 368, 424, 552, 636, 848, 1104, 1219, 1272, 2438, 2544, 3657, 4876, 7314, 9752, 14628, 19504, 29256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58508 and 58512. The biggest common factor number is the GCF number.
So the greatest common factor 58508 and 58512 is 4.

Also check out the Least Common Multiple of 58508 and 58512