What is the Greatest Common Factor of 37626 and 37638?

Greatest common factor (GCF) of 37626 and 37638 is 6.

GCF(37626,37638) = 6

We will now calculate the prime factors of 37626 and 37638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37626 and 37638.

How to find the GCF of 37626 and 37638?

We will first find the prime factorization of 37626 and 37638. After we will calculate the factors of 37626 and 37638 and find the biggest common factor number .

Step-1: Prime Factorization of 37626

Prime factors of 37626 are 2, 3, 6271. Prime factorization of 37626 in exponential form is:

37626 = 2¹ × 3¹ × 6271¹

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 37626

List of positive integer factors of 37626 that divides 37626 without a remainder.

1, 2, 3, 6, 6271, 12542, 18813

Step-4: Factors of 37638

List of positive integer factors of 37638 that divides 37626 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 37626 and 37638. The biggest common factor number is the GCF number.
So the greatest common factor 37626 and 37638 is 6.

Also check out the Least Common Multiple of 37626 and 37638