What is the Greatest Common Factor of 36564 and 36569?

Greatest common factor (GCF) of 36564 and 36569 is 1.

GCF(36564,36569) = 1

We will now calculate the prime factors of 36564 and 36569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36564 and 36569.

How to find the GCF of 36564 and 36569?

We will first find the prime factorization of 36564 and 36569. After we will calculate the factors of 36564 and 36569 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36569

Prime factors of 36569 are 13, 29, 97. Prime factorization of 36569 in exponential form is:

36569 = 13¹ × 29¹ × 97¹

Step-3: Factors of 36564

List of positive integer factors of 36564 that divides 36564 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

Step-4: Factors of 36569

List of positive integer factors of 36569 that divides 36564 without a remainder.

1, 13, 29, 97, 377, 1261, 2813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36564 and 36569. The biggest common factor number is the GCF number.
So the greatest common factor 36564 and 36569 is 1.

Also check out the Least Common Multiple of 36564 and 36569