What is the Greatest Common Factor of 92316 and 92328?

Greatest common factor (GCF) of 92316 and 92328 is 12.

GCF(92316,92328) = 12

We will now calculate the prime factors of 92316 and 92328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92316 and 92328.

How to find the GCF of 92316 and 92328?

We will first find the prime factorization of 92316 and 92328. After we will calculate the factors of 92316 and 92328 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 92328

Prime factors of 92328 are 2, 3, 3847. Prime factorization of 92328 in exponential form is:

92328 = 2³ × 3¹ × 3847¹

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 92328

List of positive integer factors of 92328 that divides 92316 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3847, 7694, 11541, 15388, 23082, 30776, 46164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92316 and 92328. The biggest common factor number is the GCF number.
So the greatest common factor 92316 and 92328 is 12.

Also check out the Least Common Multiple of 92316 and 92328