What is the Greatest Common Factor of 58643 and 58656?

Greatest common factor (GCF) of 58643 and 58656 is 13.

GCF(58643,58656) = 13

We will now calculate the prime factors of 58643 and 58656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58643 and 58656.

How to find the GCF of 58643 and 58656?

We will first find the prime factorization of 58643 and 58656. After we will calculate the factors of 58643 and 58656 and find the biggest common factor number .

Step-1: Prime Factorization of 58643

Prime factors of 58643 are 13, 347. Prime factorization of 58643 in exponential form is:

58643 = 13² × 347¹

Step-2: Prime Factorization of 58656

Prime factors of 58656 are 2, 3, 13, 47. Prime factorization of 58656 in exponential form is:

58656 = 2⁵ × 3¹ × 13¹ × 47¹

Step-3: Factors of 58643

List of positive integer factors of 58643 that divides 58643 without a remainder.

1, 13, 169, 347, 4511

Step-4: Factors of 58656

List of positive integer factors of 58656 that divides 58643 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 47, 48, 52, 78, 94, 96, 104, 141, 156, 188, 208, 282, 312, 376, 416, 564, 611, 624, 752, 1128, 1222, 1248, 1504, 1833, 2256, 2444, 3666, 4512, 4888, 7332, 9776, 14664, 19552, 29328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58643 and 58656. The biggest common factor number is the GCF number.
So the greatest common factor 58643 and 58656 is 13.

Also check out the Least Common Multiple of 58643 and 58656