What is the Greatest Common Factor of 36109 and 36122?

Greatest common factor (GCF) of 36109 and 36122 is 1.

GCF(36109,36122) = 1

We will now calculate the prime factors of 36109 and 36122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36109 and 36122.

How to find the GCF of 36109 and 36122?

We will first find the prime factorization of 36109 and 36122. After we will calculate the factors of 36109 and 36122 and find the biggest common factor number .

Step-1: Prime Factorization of 36109

Prime factors of 36109 are 36109. Prime factorization of 36109 in exponential form is:

36109 = 36109¹

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 36109

List of positive integer factors of 36109 that divides 36109 without a remainder.

Step-4: Factors of 36122

List of positive integer factors of 36122 that divides 36109 without a remainder.

1, 2, 18061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36109 and 36122. The biggest common factor number is the GCF number.
So the greatest common factor 36109 and 36122 is 1.

Also check out the Least Common Multiple of 36109 and 36122