What is the Greatest Common Factor of 36544 and 36560?

Greatest common factor (GCF) of 36544 and 36560 is 16.

GCF(36544,36560) = 16

We will now calculate the prime factors of 36544 and 36560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36544 and 36560.

How to find the GCF of 36544 and 36560?

We will first find the prime factorization of 36544 and 36560. After we will calculate the factors of 36544 and 36560 and find the biggest common factor number .

Step-1: Prime Factorization of 36544

Prime factors of 36544 are 2, 571. Prime factorization of 36544 in exponential form is:

36544 = 2⁶ × 571¹

Step-2: Prime Factorization of 36560

Prime factors of 36560 are 2, 5, 457. Prime factorization of 36560 in exponential form is:

36560 = 2⁴ × 5¹ × 457¹

Step-3: Factors of 36544

List of positive integer factors of 36544 that divides 36544 without a remainder.

1, 2, 4, 8, 16, 32, 64, 571, 1142, 2284, 4568, 9136, 18272

Step-4: Factors of 36560

List of positive integer factors of 36560 that divides 36544 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 457, 914, 1828, 2285, 3656, 4570, 7312, 9140, 18280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36544 and 36560. The biggest common factor number is the GCF number.
So the greatest common factor 36544 and 36560 is 16.

Also check out the Least Common Multiple of 36544 and 36560