What is the Greatest Common Factor of 93912 and 93925?

Greatest common factor (GCF) of 93912 and 93925 is 13.

GCF(93912,93925) = 13

We will now calculate the prime factors of 93912 and 93925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93912 and 93925.

How to find the GCF of 93912 and 93925?

We will first find the prime factorization of 93912 and 93925. After we will calculate the factors of 93912 and 93925 and find the biggest common factor number .

Step-1: Prime Factorization of 93912

Prime factors of 93912 are 2, 3, 7, 13, 43. Prime factorization of 93912 in exponential form is:

93912 = 2³ × 3¹ × 7¹ × 13¹ × 43¹

Step-2: Prime Factorization of 93925

Prime factors of 93925 are 5, 13, 17. Prime factorization of 93925 in exponential form is:

93925 = 5² × 13¹ × 17²

Step-3: Factors of 93912

List of positive integer factors of 93912 that divides 93912 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 43, 52, 56, 78, 84, 86, 91, 104, 129, 156, 168, 172, 182, 258, 273, 301, 312, 344, 364, 516, 546, 559, 602, 728, 903, 1032, 1092, 1118, 1204, 1677, 1806, 2184, 2236, 2408, 3354, 3612, 3913, 4472, 6708, 7224, 7826, 11739, 13416, 15652, 23478, 31304, 46956

Step-4: Factors of 93925

List of positive integer factors of 93925 that divides 93912 without a remainder.

1, 5, 13, 17, 25, 65, 85, 221, 289, 325, 425, 1105, 1445, 3757, 5525, 7225, 18785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93912 and 93925. The biggest common factor number is the GCF number.
So the greatest common factor 93912 and 93925 is 13.

Also check out the Least Common Multiple of 93912 and 93925