What is the Greatest Common Factor of 92300 and 92315?

Greatest common factor (GCF) of 92300 and 92315 is 5.

GCF(92300,92315) = 5

We will now calculate the prime factors of 92300 and 92315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92300 and 92315.

How to find the GCF of 92300 and 92315?

We will first find the prime factorization of 92300 and 92315. After we will calculate the factors of 92300 and 92315 and find the biggest common factor number .

Step-1: Prime Factorization of 92300

Prime factors of 92300 are 2, 5, 13, 71. Prime factorization of 92300 in exponential form is:

92300 = 2² × 5² × 13¹ × 71¹

Step-2: Prime Factorization of 92315

Prime factors of 92315 are 5, 37, 499. Prime factorization of 92315 in exponential form is:

92315 = 5¹ × 37¹ × 499¹

Step-3: Factors of 92300

List of positive integer factors of 92300 that divides 92300 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 71, 100, 130, 142, 260, 284, 325, 355, 650, 710, 923, 1300, 1420, 1775, 1846, 3550, 3692, 4615, 7100, 9230, 18460, 23075, 46150

Step-4: Factors of 92315

List of positive integer factors of 92315 that divides 92300 without a remainder.

1, 5, 37, 185, 499, 2495, 18463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92300 and 92315. The biggest common factor number is the GCF number.
So the greatest common factor 92300 and 92315 is 5.

Also check out the Least Common Multiple of 92300 and 92315