What is the Greatest Common Factor of 36102 and 36118?

Greatest common factor (GCF) of 36102 and 36118 is 2.

GCF(36102,36118) = 2

We will now calculate the prime factors of 36102 and 36118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36102 and 36118.

How to find the GCF of 36102 and 36118?

We will first find the prime factorization of 36102 and 36118. After we will calculate the factors of 36102 and 36118 and find the biggest common factor number .

Step-1: Prime Factorization of 36102

Prime factors of 36102 are 2, 3, 11, 547. Prime factorization of 36102 in exponential form is:

36102 = 2¹ × 3¹ × 11¹ × 547¹

Step-2: Prime Factorization of 36118

Prime factors of 36118 are 2, 18059. Prime factorization of 36118 in exponential form is:

36118 = 2¹ × 18059¹

Step-3: Factors of 36102

List of positive integer factors of 36102 that divides 36102 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 547, 1094, 1641, 3282, 6017, 12034, 18051

Step-4: Factors of 36118

List of positive integer factors of 36118 that divides 36102 without a remainder.

1, 2, 18059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36102 and 36118. The biggest common factor number is the GCF number.
So the greatest common factor 36102 and 36118 is 2.

Also check out the Least Common Multiple of 36102 and 36118