What is the Greatest Common Factor of 37536 and 37550?

Greatest common factor (GCF) of 37536 and 37550 is 2.

GCF(37536,37550) = 2

We will now calculate the prime factors of 37536 and 37550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37536 and 37550.

How to find the GCF of 37536 and 37550?

We will first find the prime factorization of 37536 and 37550. After we will calculate the factors of 37536 and 37550 and find the biggest common factor number .

Step-1: Prime Factorization of 37536

Prime factors of 37536 are 2, 3, 17, 23. Prime factorization of 37536 in exponential form is:

37536 = 2⁵ × 3¹ × 17¹ × 23¹

Step-2: Prime Factorization of 37550

Prime factors of 37550 are 2, 5, 751. Prime factorization of 37550 in exponential form is:

37550 = 2¹ × 5² × 751¹

Step-3: Factors of 37536

List of positive integer factors of 37536 that divides 37536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 23, 24, 32, 34, 46, 48, 51, 68, 69, 92, 96, 102, 136, 138, 184, 204, 272, 276, 368, 391, 408, 544, 552, 736, 782, 816, 1104, 1173, 1564, 1632, 2208, 2346, 3128, 4692, 6256, 9384, 12512, 18768

Step-4: Factors of 37550

List of positive integer factors of 37550 that divides 37536 without a remainder.

1, 2, 5, 10, 25, 50, 751, 1502, 3755, 7510, 18775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37536 and 37550. The biggest common factor number is the GCF number.
So the greatest common factor 37536 and 37550 is 2.

Also check out the Least Common Multiple of 37536 and 37550