What is the Greatest Common Factor of 37631 and 37642?

Greatest common factor (GCF) of 37631 and 37642 is 11.

GCF(37631,37642) = 11

We will now calculate the prime factors of 37631 and 37642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37631 and 37642.

How to find the GCF of 37631 and 37642?

We will first find the prime factorization of 37631 and 37642. After we will calculate the factors of 37631 and 37642 and find the biggest common factor number .

Step-1: Prime Factorization of 37631

Prime factors of 37631 are 11, 311. Prime factorization of 37631 in exponential form is:

37631 = 11² × 311¹

Step-2: Prime Factorization of 37642

Prime factors of 37642 are 2, 11, 29, 59. Prime factorization of 37642 in exponential form is:

37642 = 2¹ × 11¹ × 29¹ × 59¹

Step-3: Factors of 37631

List of positive integer factors of 37631 that divides 37631 without a remainder.

1, 11, 121, 311, 3421

Step-4: Factors of 37642

List of positive integer factors of 37642 that divides 37631 without a remainder.

1, 2, 11, 22, 29, 58, 59, 118, 319, 638, 649, 1298, 1711, 3422, 18821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37631 and 37642. The biggest common factor number is the GCF number.
So the greatest common factor 37631 and 37642 is 11.

Also check out the Least Common Multiple of 37631 and 37642