What is the Greatest Common Factor of 58968 and 58982?

Greatest common factor (GCF) of 58968 and 58982 is 14.

GCF(58968,58982) = 14

We will now calculate the prime factors of 58968 and 58982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58968 and 58982.

How to find the GCF of 58968 and 58982?

We will first find the prime factorization of 58968 and 58982. After we will calculate the factors of 58968 and 58982 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 58982

Prime factors of 58982 are 2, 7, 11, 383. Prime factorization of 58982 in exponential form is:

58982 = 2¹ × 7¹ × 11¹ × 383¹

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 58982

List of positive integer factors of 58982 that divides 58968 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 383, 766, 2681, 4213, 5362, 8426, 29491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58968 and 58982. The biggest common factor number is the GCF number.
So the greatest common factor 58968 and 58982 is 14.

Also check out the Least Common Multiple of 58968 and 58982