What is the Greatest Common Factor of 92631 and 92642?

Greatest common factor (GCF) of 92631 and 92642 is 11.

GCF(92631,92642) = 11

We will now calculate the prime factors of 92631 and 92642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92631 and 92642.

How to find the GCF of 92631 and 92642?

We will first find the prime factorization of 92631 and 92642. After we will calculate the factors of 92631 and 92642 and find the biggest common factor number .

Step-1: Prime Factorization of 92631

Prime factors of 92631 are 3, 7, 11, 401. Prime factorization of 92631 in exponential form is:

92631 = 3¹ × 7¹ × 11¹ × 401¹

Step-2: Prime Factorization of 92642

Prime factors of 92642 are 2, 11, 4211. Prime factorization of 92642 in exponential form is:

92642 = 2¹ × 11¹ × 4211¹

Step-3: Factors of 92631

List of positive integer factors of 92631 that divides 92631 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 401, 1203, 2807, 4411, 8421, 13233, 30877

Step-4: Factors of 92642

List of positive integer factors of 92642 that divides 92631 without a remainder.

1, 2, 11, 22, 4211, 8422, 46321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92631 and 92642. The biggest common factor number is the GCF number.
So the greatest common factor 92631 and 92642 is 11.

Also check out the Least Common Multiple of 92631 and 92642