What is the Greatest Common Factor of 58752 and 58769?

Greatest common factor (GCF) of 58752 and 58769 is 17.

GCF(58752,58769) = 17

We will now calculate the prime factors of 58752 and 58769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58752 and 58769.

How to find the GCF of 58752 and 58769?

We will first find the prime factorization of 58752 and 58769. After we will calculate the factors of 58752 and 58769 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 58769

Prime factors of 58769 are 17, 3457. Prime factorization of 58769 in exponential form is:

58769 = 17¹ × 3457¹

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 58769

List of positive integer factors of 58769 that divides 58752 without a remainder.

1, 17, 3457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58752 and 58769. The biggest common factor number is the GCF number.
So the greatest common factor 58752 and 58769 is 17.

Also check out the Least Common Multiple of 58752 and 58769