What is the Greatest Common Factor of 36108 and 36122?

Greatest common factor (GCF) of 36108 and 36122 is 2.

GCF(36108,36122) = 2

We will now calculate the prime factors of 36108 and 36122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36108 and 36122.

How to find the GCF of 36108 and 36122?

We will first find the prime factorization of 36108 and 36122. After we will calculate the factors of 36108 and 36122 and find the biggest common factor number .

Step-1: Prime Factorization of 36108

Prime factors of 36108 are 2, 3, 17, 59. Prime factorization of 36108 in exponential form is:

36108 = 2² × 3² × 17¹ × 59¹

Step-2: Prime Factorization of 36122

Prime factors of 36122 are 2, 18061. Prime factorization of 36122 in exponential form is:

36122 = 2¹ × 18061¹

Step-3: Factors of 36108

List of positive integer factors of 36108 that divides 36108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 59, 68, 102, 118, 153, 177, 204, 236, 306, 354, 531, 612, 708, 1003, 1062, 2006, 2124, 3009, 4012, 6018, 9027, 12036, 18054

Step-4: Factors of 36122

List of positive integer factors of 36122 that divides 36108 without a remainder.

1, 2, 18061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36108 and 36122. The biggest common factor number is the GCF number.
So the greatest common factor 36108 and 36122 is 2.

Also check out the Least Common Multiple of 36108 and 36122