What is the Greatest Common Factor of 36108 and 36116?

Greatest common factor (GCF) of 36108 and 36116 is 4.

GCF(36108,36116) = 4

We will now calculate the prime factors of 36108 and 36116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36108 and 36116.

How to find the GCF of 36108 and 36116?

We will first find the prime factorization of 36108 and 36116. After we will calculate the factors of 36108 and 36116 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 36116

Prime factors of 36116 are 2, 9029. Prime factorization of 36116 in exponential form is:

36116 = 2² × 9029¹

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 36116

List of positive integer factors of 36116 that divides 36108 without a remainder.

1, 2, 4, 9029, 18058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36108 and 36116. The biggest common factor number is the GCF number.
So the greatest common factor 36108 and 36116 is 4.

Also check out the Least Common Multiple of 36108 and 36116