What is the Greatest Common Factor of 58536 and 58552?

Greatest common factor (GCF) of 58536 and 58552 is 8.

GCF(58536,58552) = 8

We will now calculate the prime factors of 58536 and 58552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58536 and 58552.

How to find the GCF of 58536 and 58552?

We will first find the prime factorization of 58536 and 58552. After we will calculate the factors of 58536 and 58552 and find the biggest common factor number .

Step-1: Prime Factorization of 58536

Prime factors of 58536 are 2, 3, 271. Prime factorization of 58536 in exponential form is:

58536 = 2³ × 3³ × 271¹

Step-2: Prime Factorization of 58552

Prime factors of 58552 are 2, 13, 563. Prime factorization of 58552 in exponential form is:

58552 = 2³ × 13¹ × 563¹

Step-3: Factors of 58536

List of positive integer factors of 58536 that divides 58536 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 271, 542, 813, 1084, 1626, 2168, 2439, 3252, 4878, 6504, 7317, 9756, 14634, 19512, 29268

Step-4: Factors of 58552

List of positive integer factors of 58552 that divides 58536 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 563, 1126, 2252, 4504, 7319, 14638, 29276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58536 and 58552. The biggest common factor number is the GCF number.
So the greatest common factor 58536 and 58552 is 8.

Also check out the Least Common Multiple of 58536 and 58552