What is the Greatest Common Factor of 37638 and 37655?

Greatest common factor (GCF) of 37638 and 37655 is 17.

GCF(37638,37655) = 17

We will now calculate the prime factors of 37638 and 37655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37638 and 37655.

How to find the GCF of 37638 and 37655?

We will first find the prime factorization of 37638 and 37655. After we will calculate the factors of 37638 and 37655 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37655

Prime factors of 37655 are 5, 17, 443. Prime factorization of 37655 in exponential form is:

37655 = 5¹ × 17¹ × 443¹

Step-3: Factors of 37638

List of positive integer factors of 37638 that divides 37638 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

Step-4: Factors of 37655

List of positive integer factors of 37655 that divides 37638 without a remainder.

1, 5, 17, 85, 443, 2215, 7531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37638 and 37655. The biggest common factor number is the GCF number.
So the greatest common factor 37638 and 37655 is 17.

Also check out the Least Common Multiple of 37638 and 37655