What is the Greatest Common Factor of 37628 and 37642?

Greatest common factor (GCF) of 37628 and 37642 is 2.

GCF(37628,37642) = 2

We will now calculate the prime factors of 37628 and 37642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37628 and 37642.

How to find the GCF of 37628 and 37642?

We will first find the prime factorization of 37628 and 37642. After we will calculate the factors of 37628 and 37642 and find the biggest common factor number .

Step-1: Prime Factorization of 37628

Prime factors of 37628 are 2, 23, 409. Prime factorization of 37628 in exponential form is:

37628 = 2² × 23¹ × 409¹

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 37628

List of positive integer factors of 37628 that divides 37628 without a remainder.

1, 2, 4, 23, 46, 92, 409, 818, 1636, 9407, 18814

Step-4: Factors of 37642

List of positive integer factors of 37642 that divides 37628 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 37628 and 37642. The biggest common factor number is the GCF number.
So the greatest common factor 37628 and 37642 is 2.

Also check out the Least Common Multiple of 37628 and 37642