What is the Greatest Common Factor of 58968 and 58981?

Greatest common factor (GCF) of 58968 and 58981 is 13.

GCF(58968,58981) = 13

We will now calculate the prime factors of 58968 and 58981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58968 and 58981.

How to find the GCF of 58968 and 58981?

We will first find the prime factorization of 58968 and 58981. After we will calculate the factors of 58968 and 58981 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 58981

Prime factors of 58981 are 13, 349. Prime factorization of 58981 in exponential form is:

58981 = 13² × 349¹

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 58981

List of positive integer factors of 58981 that divides 58968 without a remainder.

1, 13, 169, 349, 4537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58968 and 58981. The biggest common factor number is the GCF number.
So the greatest common factor 58968 and 58981 is 13.

Also check out the Least Common Multiple of 58968 and 58981