What is the Greatest Common Factor of 58968 and 58988?

Greatest common factor (GCF) of 58968 and 58988 is 4.

GCF(58968,58988) = 4

We will now calculate the prime factors of 58968 and 58988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58968 and 58988.

How to find the GCF of 58968 and 58988?

We will first find the prime factorization of 58968 and 58988. After we will calculate the factors of 58968 and 58988 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58988

Prime factors of 58988 are 2, 14747. Prime factorization of 58988 in exponential form is:

58988 = 2² × 14747¹

Step-3: Factors of 58968

List of positive integer factors of 58968 that divides 58968 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

Step-4: Factors of 58988

List of positive integer factors of 58988 that divides 58968 without a remainder.

1, 2, 4, 14747, 29494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58968 and 58988. The biggest common factor number is the GCF number.
So the greatest common factor 58968 and 58988 is 4.

Also check out the Least Common Multiple of 58968 and 58988