What is the Greatest Common Factor of 58656 and 58671?

Greatest common factor (GCF) of 58656 and 58671 is 3.

GCF(58656,58671) = 3

We will now calculate the prime factors of 58656 and 58671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58656 and 58671.

How to find the GCF of 58656 and 58671?

We will first find the prime factorization of 58656 and 58671. After we will calculate the factors of 58656 and 58671 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58671

Prime factors of 58671 are 3, 41, 53. Prime factorization of 58671 in exponential form is:

58671 = 3³ × 41¹ × 53¹

Step-3: Factors of 58656

List of positive integer factors of 58656 that divides 58656 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

Step-4: Factors of 58671

List of positive integer factors of 58671 that divides 58656 without a remainder.

1, 3, 9, 27, 41, 53, 123, 159, 369, 477, 1107, 1431, 2173, 6519, 19557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58656 and 58671. The biggest common factor number is the GCF number.
So the greatest common factor 58656 and 58671 is 3.

Also check out the Least Common Multiple of 58656 and 58671