What is the Greatest Common Factor of 36104 and 36118?

Greatest common factor (GCF) of 36104 and 36118 is 2.

GCF(36104,36118) = 2

We will now calculate the prime factors of 36104 and 36118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36104 and 36118.

How to find the GCF of 36104 and 36118?

We will first find the prime factorization of 36104 and 36118. After we will calculate the factors of 36104 and 36118 and find the biggest common factor number .

Step-1: Prime Factorization of 36104

Prime factors of 36104 are 2, 4513. Prime factorization of 36104 in exponential form is:

36104 = 2³ × 4513¹

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 36104

List of positive integer factors of 36104 that divides 36104 without a remainder.

1, 2, 4, 8, 4513, 9026, 18052

Step-4: Factors of 36118

List of positive integer factors of 36118 that divides 36104 without a remainder.

1, 2, 18059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36104 and 36118. The biggest common factor number is the GCF number.
So the greatest common factor 36104 and 36118 is 2.

Also check out the Least Common Multiple of 36104 and 36118