What is the Greatest Common Factor of 58954 and 58968?

Greatest common factor (GCF) of 58954 and 58968 is 14.

GCF(58954,58968) = 14

We will now calculate the prime factors of 58954 and 58968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58954 and 58968.

How to find the GCF of 58954 and 58968?

We will first find the prime factorization of 58954 and 58968. After we will calculate the factors of 58954 and 58968 and find the biggest common factor number .

Step-1: Prime Factorization of 58954

Prime factors of 58954 are 2, 7, 4211. Prime factorization of 58954 in exponential form is:

58954 = 2¹ × 7¹ × 4211¹

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 58954

List of positive integer factors of 58954 that divides 58954 without a remainder.

1, 2, 7, 14, 4211, 8422, 29477

Step-4: Factors of 58968

List of positive integer factors of 58968 that divides 58954 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 58954 and 58968. The biggest common factor number is the GCF number.
So the greatest common factor 58954 and 58968 is 14.

Also check out the Least Common Multiple of 58954 and 58968