What is the Greatest Common Factor of 92365 and 92372?

Greatest common factor (GCF) of 92365 and 92372 is 7.

GCF(92365,92372) = 7

We will now calculate the prime factors of 92365 and 92372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92365 and 92372.

How to find the GCF of 92365 and 92372?

We will first find the prime factorization of 92365 and 92372. After we will calculate the factors of 92365 and 92372 and find the biggest common factor number .

Step-1: Prime Factorization of 92365

Prime factors of 92365 are 5, 7, 13, 29. Prime factorization of 92365 in exponential form is:

92365 = 5¹ × 7² × 13¹ × 29¹

Step-2: Prime Factorization of 92372

Prime factors of 92372 are 2, 7, 3299. Prime factorization of 92372 in exponential form is:

92372 = 2² × 7¹ × 3299¹

Step-3: Factors of 92365

List of positive integer factors of 92365 that divides 92365 without a remainder.

1, 5, 7, 13, 29, 35, 49, 65, 91, 145, 203, 245, 377, 455, 637, 1015, 1421, 1885, 2639, 3185, 7105, 13195, 18473

Step-4: Factors of 92372

List of positive integer factors of 92372 that divides 92365 without a remainder.

1, 2, 4, 7, 14, 28, 3299, 6598, 13196, 23093, 46186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92365 and 92372. The biggest common factor number is the GCF number.
So the greatest common factor 92365 and 92372 is 7.

Also check out the Least Common Multiple of 92365 and 92372