What is the Greatest Common Factor of 37536 and 37545?

Greatest common factor (GCF) of 37536 and 37545 is 3.

GCF(37536,37545) = 3

We will now calculate the prime factors of 37536 and 37545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37536 and 37545.

How to find the GCF of 37536 and 37545?

We will first find the prime factorization of 37536 and 37545. After we will calculate the factors of 37536 and 37545 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 37545

Prime factors of 37545 are 3, 5, 2503. Prime factorization of 37545 in exponential form is:

37545 = 3¹ × 5¹ × 2503¹

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 37545

List of positive integer factors of 37545 that divides 37536 without a remainder.

1, 3, 5, 15, 2503, 7509, 12515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37536 and 37545. The biggest common factor number is the GCF number.
So the greatest common factor 37536 and 37545 is 3.

Also check out the Least Common Multiple of 37536 and 37545