What is the Greatest Common Factor of 92631 and 92637?

Greatest common factor (GCF) of 92631 and 92637 is 3.

GCF(92631,92637) = 3

We will now calculate the prime factors of 92631 and 92637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92631 and 92637.

How to find the GCF of 92631 and 92637?

We will first find the prime factorization of 92631 and 92637. After we will calculate the factors of 92631 and 92637 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 92637

Prime factors of 92637 are 3, 47, 73. Prime factorization of 92637 in exponential form is:

92637 = 3³ × 47¹ × 73¹

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 92637

List of positive integer factors of 92637 that divides 92631 without a remainder.

1, 3, 9, 27, 47, 73, 141, 219, 423, 657, 1269, 1971, 3431, 10293, 30879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92631 and 92637. The biggest common factor number is the GCF number.
So the greatest common factor 92631 and 92637 is 3.

Also check out the Least Common Multiple of 92631 and 92637