What is the Greatest Common Factor of 36553 and 36564?

Greatest common factor (GCF) of 36553 and 36564 is 11.

GCF(36553,36564) = 11

We will now calculate the prime factors of 36553 and 36564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36553 and 36564.

How to find the GCF of 36553 and 36564?

We will first find the prime factorization of 36553 and 36564. After we will calculate the factors of 36553 and 36564 and find the biggest common factor number .

Step-1: Prime Factorization of 36553

Prime factors of 36553 are 11, 3323. Prime factorization of 36553 in exponential form is:

36553 = 11¹ × 3323¹

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 36553

List of positive integer factors of 36553 that divides 36553 without a remainder.

1, 11, 3323

Step-4: Factors of 36564

List of positive integer factors of 36564 that divides 36553 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 36553 and 36564. The biggest common factor number is the GCF number.
So the greatest common factor 36553 and 36564 is 11.

Also check out the Least Common Multiple of 36553 and 36564