What is the Greatest Common Factor of 92904 and 92918?

Greatest common factor (GCF) of 92904 and 92918 is 14.

GCF(92904,92918) = 14

We will now calculate the prime factors of 92904 and 92918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92904 and 92918.

How to find the GCF of 92904 and 92918?

We will first find the prime factorization of 92904 and 92918. After we will calculate the factors of 92904 and 92918 and find the biggest common factor number .

Step-1: Prime Factorization of 92904

Prime factors of 92904 are 2, 3, 7, 79. Prime factorization of 92904 in exponential form is:

92904 = 2³ × 3¹ × 7² × 79¹

Step-2: Prime Factorization of 92918

Prime factors of 92918 are 2, 7, 6637. Prime factorization of 92918 in exponential form is:

92918 = 2¹ × 7¹ × 6637¹

Step-3: Factors of 92904

List of positive integer factors of 92904 that divides 92904 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 79, 84, 98, 147, 158, 168, 196, 237, 294, 316, 392, 474, 553, 588, 632, 948, 1106, 1176, 1659, 1896, 2212, 3318, 3871, 4424, 6636, 7742, 11613, 13272, 15484, 23226, 30968, 46452

Step-4: Factors of 92918

List of positive integer factors of 92918 that divides 92904 without a remainder.

1, 2, 7, 14, 6637, 13274, 46459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92904 and 92918. The biggest common factor number is the GCF number.
So the greatest common factor 92904 and 92918 is 14.

Also check out the Least Common Multiple of 92904 and 92918