What is the Greatest Common Factor of 92904 and 92916?

Greatest common factor (GCF) of 92904 and 92916 is 12.

GCF(92904,92916) = 12

We will now calculate the prime factors of 92904 and 92916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92904 and 92916.

How to find the GCF of 92904 and 92916?

We will first find the prime factorization of 92904 and 92916. After we will calculate the factors of 92904 and 92916 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 92916

Prime factors of 92916 are 2, 3, 29, 89. Prime factorization of 92916 in exponential form is:

92916 = 2² × 3² × 29¹ × 89¹

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 92916

List of positive integer factors of 92916 that divides 92904 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 89, 116, 174, 178, 261, 267, 348, 356, 522, 534, 801, 1044, 1068, 1602, 2581, 3204, 5162, 7743, 10324, 15486, 23229, 30972, 46458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92904 and 92916. The biggest common factor number is the GCF number.
So the greatest common factor 92904 and 92916 is 12.

Also check out the Least Common Multiple of 92904 and 92916