What is the Greatest Common Factor of 92988 and 93002?

Greatest common factor (GCF) of 92988 and 93002 is 14.

GCF(92988,93002) = 14

We will now calculate the prime factors of 92988 and 93002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92988 and 93002.

How to find the GCF of 92988 and 93002?

We will first find the prime factorization of 92988 and 93002. After we will calculate the factors of 92988 and 93002 and find the biggest common factor number .

Step-1: Prime Factorization of 92988

Prime factors of 92988 are 2, 3, 7, 41. Prime factorization of 92988 in exponential form is:

92988 = 2² × 3⁴ × 7¹ × 41¹

Step-2: Prime Factorization of 93002

Prime factors of 93002 are 2, 7, 13, 73. Prime factorization of 93002 in exponential form is:

93002 = 2¹ × 7² × 13¹ × 73¹

Step-3: Factors of 92988

List of positive integer factors of 92988 that divides 92988 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 41, 42, 54, 63, 81, 82, 84, 108, 123, 126, 162, 164, 189, 246, 252, 287, 324, 369, 378, 492, 567, 574, 738, 756, 861, 1107, 1134, 1148, 1476, 1722, 2214, 2268, 2583, 3321, 3444, 4428, 5166, 6642, 7749, 10332, 13284, 15498, 23247, 30996, 46494

Step-4: Factors of 93002

List of positive integer factors of 93002 that divides 92988 without a remainder.

1, 2, 7, 13, 14, 26, 49, 73, 91, 98, 146, 182, 511, 637, 949, 1022, 1274, 1898, 3577, 6643, 7154, 13286, 46501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92988 and 93002. The biggest common factor number is the GCF number.
So the greatest common factor 92988 and 93002 is 14.

Also check out the Least Common Multiple of 92988 and 93002