What is the Greatest Common Factor of 58752 and 58756?

Greatest common factor (GCF) of 58752 and 58756 is 4.

GCF(58752,58756) = 4

We will now calculate the prime factors of 58752 and 58756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58752 and 58756.

How to find the GCF of 58752 and 58756?

We will first find the prime factorization of 58752 and 58756. After we will calculate the factors of 58752 and 58756 and find the biggest common factor number .

Step-1: Prime Factorization of 58752

Prime factors of 58752 are 2, 3, 17. Prime factorization of 58752 in exponential form is:

58752 = 2⁷ × 3³ × 17¹

Step-2: Prime Factorization of 58756

Prime factors of 58756 are 2, 37, 397. Prime factorization of 58756 in exponential form is:

58756 = 2² × 37¹ × 397¹

Step-3: Factors of 58752

List of positive integer factors of 58752 that divides 58752 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 32, 34, 36, 48, 51, 54, 64, 68, 72, 96, 102, 108, 128, 136, 144, 153, 192, 204, 216, 272, 288, 306, 384, 408, 432, 459, 544, 576, 612, 816, 864, 918, 1088, 1152, 1224, 1632, 1728, 1836, 2176, 2448, 3264, 3456, 3672, 4896, 6528, 7344, 9792, 14688, 19584, 29376

Step-4: Factors of 58756

List of positive integer factors of 58756 that divides 58752 without a remainder.

1, 2, 4, 37, 74, 148, 397, 794, 1588, 14689, 29378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58752 and 58756. The biggest common factor number is the GCF number.
So the greatest common factor 58752 and 58756 is 4.

Also check out the Least Common Multiple of 58752 and 58756