What is the Greatest Common Factor of 58959 and 58968?

Greatest common factor (GCF) of 58959 and 58968 is 9.

GCF(58959,58968) = 9

We will now calculate the prime factors of 58959 and 58968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58959 and 58968.

How to find the GCF of 58959 and 58968?

We will first find the prime factorization of 58959 and 58968. After we will calculate the factors of 58959 and 58968 and find the biggest common factor number .

Step-1: Prime Factorization of 58959

Prime factors of 58959 are 3, 6551. Prime factorization of 58959 in exponential form is:

58959 = 3² × 6551¹

Step-2: Prime Factorization of 58968

Prime factors of 58968 are 2, 3, 7, 13. Prime factorization of 58968 in exponential form is:

58968 = 2³ × 3⁴ × 7¹ × 13¹

Step-3: Factors of 58959

List of positive integer factors of 58959 that divides 58959 without a remainder.

1, 3, 9, 6551, 19653

Step-4: Factors of 58968

List of positive integer factors of 58968 that divides 58959 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 27, 28, 36, 39, 42, 52, 54, 56, 63, 72, 78, 81, 84, 91, 104, 108, 117, 126, 156, 162, 168, 182, 189, 216, 234, 252, 273, 312, 324, 351, 364, 378, 468, 504, 546, 567, 648, 702, 728, 756, 819, 936, 1053, 1092, 1134, 1404, 1512, 1638, 2106, 2184, 2268, 2457, 2808, 3276, 4212, 4536, 4914, 6552, 7371, 8424, 9828, 14742, 19656, 29484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58959 and 58968. The biggest common factor number is the GCF number.
So the greatest common factor 58959 and 58968 is 9.

Also check out the Least Common Multiple of 58959 and 58968