What is the Greatest Common Factor of 36086 and 36102?

Greatest common factor (GCF) of 36086 and 36102 is 2.

GCF(36086,36102) = 2

We will now calculate the prime factors of 36086 and 36102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36086 and 36102.

How to find the GCF of 36086 and 36102?

We will first find the prime factorization of 36086 and 36102. After we will calculate the factors of 36086 and 36102 and find the biggest common factor number .

Step-1: Prime Factorization of 36086

Prime factors of 36086 are 2, 18043. Prime factorization of 36086 in exponential form is:

36086 = 2¹ × 18043¹

Step-2: 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-3: Factors of 36086

List of positive integer factors of 36086 that divides 36086 without a remainder.

1, 2, 18043

Step-4: Factors of 36102

List of positive integer factors of 36102 that divides 36086 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36086 and 36102. The biggest common factor number is the GCF number.
So the greatest common factor 36086 and 36102 is 2.

Also check out the Least Common Multiple of 36086 and 36102