What is the Greatest Common Factor of 92309 and 92316?

Greatest common factor (GCF) of 92309 and 92316 is 7.

GCF(92309,92316) = 7

We will now calculate the prime factors of 92309 and 92316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92309 and 92316.

How to find the GCF of 92309 and 92316?

We will first find the prime factorization of 92309 and 92316. After we will calculate the factors of 92309 and 92316 and find the biggest common factor number .

Step-1: Prime Factorization of 92309

Prime factors of 92309 are 7, 13187. Prime factorization of 92309 in exponential form is:

92309 = 7¹ × 13187¹

Step-2: 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-3: Factors of 92309

List of positive integer factors of 92309 that divides 92309 without a remainder.

1, 7, 13187

Step-4: Factors of 92316

List of positive integer factors of 92316 that divides 92309 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92309 and 92316. The biggest common factor number is the GCF number.
So the greatest common factor 92309 and 92316 is 7.

Also check out the Least Common Multiple of 92309 and 92316