What is the Greatest Common Factor of 92300 and 92317?

Greatest common factor (GCF) of 92300 and 92317 is 1.

GCF(92300,92317) = 1

We will now calculate the prime factors of 92300 and 92317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92300 and 92317.

How to find the GCF of 92300 and 92317?

We will first find the prime factorization of 92300 and 92317. After we will calculate the factors of 92300 and 92317 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 92317

Prime factors of 92317 are 92317. Prime factorization of 92317 in exponential form is:

92317 = 92317¹

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 92317

List of positive integer factors of 92317 that divides 92300 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92300 and 92317. The biggest common factor number is the GCF number.
So the greatest common factor 92300 and 92317 is 1.

Also check out the Least Common Multiple of 92300 and 92317