What is the Greatest Common Factor of 92690 and 92696?

Greatest common factor (GCF) of 92690 and 92696 is 2.

GCF(92690,92696) = 2

We will now calculate the prime factors of 92690 and 92696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92690 and 92696.

How to find the GCF of 92690 and 92696?

We will first find the prime factorization of 92690 and 92696. After we will calculate the factors of 92690 and 92696 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92696

Prime factors of 92696 are 2, 11587. Prime factorization of 92696 in exponential form is:

92696 = 2³ × 11587¹

Step-3: Factors of 92690

List of positive integer factors of 92690 that divides 92690 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

Step-4: Factors of 92696

List of positive integer factors of 92696 that divides 92690 without a remainder.

1, 2, 4, 8, 11587, 23174, 46348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92690 and 92696. The biggest common factor number is the GCF number.
So the greatest common factor 92690 and 92696 is 2.

Also check out the Least Common Multiple of 92690 and 92696