What is the Greatest Common Factor of 36311 and 36322?

Greatest common factor (GCF) of 36311 and 36322 is 11.

GCF(36311,36322) = 11

We will now calculate the prime factors of 36311 and 36322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36311 and 36322.

How to find the GCF of 36311 and 36322?

We will first find the prime factorization of 36311 and 36322. After we will calculate the factors of 36311 and 36322 and find the biggest common factor number .

Step-1: Prime Factorization of 36311

Prime factors of 36311 are 11, 3301. Prime factorization of 36311 in exponential form is:

36311 = 11¹ × 3301¹

Step-2: Prime Factorization of 36322

Prime factors of 36322 are 2, 11, 13, 127. Prime factorization of 36322 in exponential form is:

36322 = 2¹ × 11¹ × 13¹ × 127¹

Step-3: Factors of 36311

List of positive integer factors of 36311 that divides 36311 without a remainder.

1, 11, 3301

Step-4: Factors of 36322

List of positive integer factors of 36322 that divides 36311 without a remainder.

1, 2, 11, 13, 22, 26, 127, 143, 254, 286, 1397, 1651, 2794, 3302, 18161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36311 and 36322. The biggest common factor number is the GCF number.
So the greatest common factor 36311 and 36322 is 11.

Also check out the Least Common Multiple of 36311 and 36322