What is the Greatest Common Factor of 37621 and 37638?

Greatest common factor (GCF) of 37621 and 37638 is 17.

GCF(37621,37638) = 17

We will now calculate the prime factors of 37621 and 37638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37621 and 37638.

How to find the GCF of 37621 and 37638?

We will first find the prime factorization of 37621 and 37638. After we will calculate the factors of 37621 and 37638 and find the biggest common factor number .

Step-1: Prime Factorization of 37621

Prime factors of 37621 are 17, 2213. Prime factorization of 37621 in exponential form is:

37621 = 17¹ × 2213¹

Step-2: Prime Factorization of 37638

Prime factors of 37638 are 2, 3, 17, 41. Prime factorization of 37638 in exponential form is:

37638 = 2¹ × 3³ × 17¹ × 41¹

Step-3: Factors of 37621

List of positive integer factors of 37621 that divides 37621 without a remainder.

1, 17, 2213

Step-4: Factors of 37638

List of positive integer factors of 37638 that divides 37621 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 41, 51, 54, 82, 102, 123, 153, 246, 306, 369, 459, 697, 738, 918, 1107, 1394, 2091, 2214, 4182, 6273, 12546, 18819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37621 and 37638. The biggest common factor number is the GCF number.
So the greatest common factor 37621 and 37638 is 17.

Also check out the Least Common Multiple of 37621 and 37638