What is the Greatest Common Factor of 92677 and 92690?

Greatest common factor (GCF) of 92677 and 92690 is 13.

GCF(92677,92690) = 13

We will now calculate the prime factors of 92677 and 92690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92677 and 92690.

How to find the GCF of 92677 and 92690?

We will first find the prime factorization of 92677 and 92690. After we will calculate the factors of 92677 and 92690 and find the biggest common factor number .

Step-1: Prime Factorization of 92677

Prime factors of 92677 are 13, 7129. Prime factorization of 92677 in exponential form is:

92677 = 13¹ × 7129¹

Step-2: Prime Factorization of 92690

Prime factors of 92690 are 2, 5, 13, 23, 31. Prime factorization of 92690 in exponential form is:

92690 = 2¹ × 5¹ × 13¹ × 23¹ × 31¹

Step-3: Factors of 92677

List of positive integer factors of 92677 that divides 92677 without a remainder.

1, 13, 7129

Step-4: Factors of 92690

List of positive integer factors of 92690 that divides 92677 without a remainder.

1, 2, 5, 10, 13, 23, 26, 31, 46, 62, 65, 115, 130, 155, 230, 299, 310, 403, 598, 713, 806, 1426, 1495, 2015, 2990, 3565, 4030, 7130, 9269, 18538, 46345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92677 and 92690. The biggest common factor number is the GCF number.
So the greatest common factor 92677 and 92690 is 13.

Also check out the Least Common Multiple of 92677 and 92690