What is the Greatest Common Factor of 36560 and 36564?

Greatest common factor (GCF) of 36560 and 36564 is 4.

GCF(36560,36564) = 4

We will now calculate the prime factors of 36560 and 36564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36560 and 36564.

How to find the GCF of 36560 and 36564?

We will first find the prime factorization of 36560 and 36564. After we will calculate the factors of 36560 and 36564 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36564

Prime factors of 36564 are 2, 3, 11, 277. Prime factorization of 36564 in exponential form is:

36564 = 2² × 3¹ × 11¹ × 277¹

Step-3: Factors of 36560

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

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

Step-4: Factors of 36564

List of positive integer factors of 36564 that divides 36560 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 277, 554, 831, 1108, 1662, 3047, 3324, 6094, 9141, 12188, 18282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36560 and 36564. The biggest common factor number is the GCF number.
So the greatest common factor 36560 and 36564 is 4.

Also check out the Least Common Multiple of 36560 and 36564