What is the Greatest Common Factor of 37536 and 37540?

Greatest common factor (GCF) of 37536 and 37540 is 4.

GCF(37536,37540) = 4

We will now calculate the prime factors of 37536 and 37540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37536 and 37540.

How to find the GCF of 37536 and 37540?

We will first find the prime factorization of 37536 and 37540. After we will calculate the factors of 37536 and 37540 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 37540

Prime factors of 37540 are 2, 5, 1877. Prime factorization of 37540 in exponential form is:

37540 = 2² × 5¹ × 1877¹

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 37540

List of positive integer factors of 37540 that divides 37536 without a remainder.

1, 2, 4, 5, 10, 20, 1877, 3754, 7508, 9385, 18770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37536 and 37540. The biggest common factor number is the GCF number.
So the greatest common factor 37536 and 37540 is 4.

Also check out the Least Common Multiple of 37536 and 37540