What is the Greatest Common Factor of 92316 and 92334?

Greatest common factor (GCF) of 92316 and 92334 is 6.

GCF(92316,92334) = 6

We will now calculate the prime factors of 92316 and 92334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92316 and 92334.

How to find the GCF of 92316 and 92334?

We will first find the prime factorization of 92316 and 92334. After we will calculate the factors of 92316 and 92334 and find the biggest common factor number .

Step-1: Prime Factorization of 92316

Prime factors of 92316 are 2, 3, 7, 157. Prime factorization of 92316 in exponential form is:

92316 = 2² × 3¹ × 7² × 157¹

Step-2: Prime Factorization of 92334

Prime factors of 92334 are 2, 3, 11, 1399. Prime factorization of 92334 in exponential form is:

92334 = 2¹ × 3¹ × 11¹ × 1399¹

Step-3: Factors of 92316

List of positive integer factors of 92316 that divides 92316 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 157, 196, 294, 314, 471, 588, 628, 942, 1099, 1884, 2198, 3297, 4396, 6594, 7693, 13188, 15386, 23079, 30772, 46158

Step-4: Factors of 92334

List of positive integer factors of 92334 that divides 92316 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1399, 2798, 4197, 8394, 15389, 30778, 46167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92316 and 92334. The biggest common factor number is the GCF number.
So the greatest common factor 92316 and 92334 is 6.

Also check out the Least Common Multiple of 92316 and 92334