What is the Greatest Common Factor of 58496 and 58512?

Greatest common factor (GCF) of 58496 and 58512 is 16.

GCF(58496,58512) = 16

We will now calculate the prime factors of 58496 and 58512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58496 and 58512.

How to find the GCF of 58496 and 58512?

We will first find the prime factorization of 58496 and 58512. After we will calculate the factors of 58496 and 58512 and find the biggest common factor number .

Step-1: Prime Factorization of 58496

Prime factors of 58496 are 2, 457. Prime factorization of 58496 in exponential form is:

58496 = 2⁷ × 457¹

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 58496

List of positive integer factors of 58496 that divides 58496 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 457, 914, 1828, 3656, 7312, 14624, 29248

Step-4: Factors of 58512

List of positive integer factors of 58512 that divides 58496 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 58496 and 58512. The biggest common factor number is the GCF number.
So the greatest common factor 58496 and 58512 is 16.

Also check out the Least Common Multiple of 58496 and 58512