What is the Greatest Common Factor of 58512 and 58526?

Greatest common factor (GCF) of 58512 and 58526 is 2.

GCF(58512,58526) = 2

We will now calculate the prime factors of 58512 and 58526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58512 and 58526.

How to find the GCF of 58512 and 58526?

We will first find the prime factorization of 58512 and 58526. After we will calculate the factors of 58512 and 58526 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58526

Prime factors of 58526 are 2, 13, 2251. Prime factorization of 58526 in exponential form is:

58526 = 2¹ × 13¹ × 2251¹

Step-3: Factors of 58512

List of positive integer factors of 58512 that divides 58512 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

Step-4: Factors of 58526

List of positive integer factors of 58526 that divides 58512 without a remainder.

1, 2, 13, 26, 2251, 4502, 29263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58512 and 58526. The biggest common factor number is the GCF number.
So the greatest common factor 58512 and 58526 is 2.

Also check out the Least Common Multiple of 58512 and 58526