What is the Greatest Common Factor of 36904 and 36918?

Greatest common factor (GCF) of 36904 and 36918 is 14.

GCF(36904,36918) = 14

We will now calculate the prime factors of 36904 and 36918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36904 and 36918.

How to find the GCF of 36904 and 36918?

We will first find the prime factorization of 36904 and 36918. After we will calculate the factors of 36904 and 36918 and find the biggest common factor number .

Step-1: Prime Factorization of 36904

Prime factors of 36904 are 2, 7, 659. Prime factorization of 36904 in exponential form is:

36904 = 2³ × 7¹ × 659¹

Step-2: Prime Factorization of 36918

Prime factors of 36918 are 2, 3, 7, 293. Prime factorization of 36918 in exponential form is:

36918 = 2¹ × 3² × 7¹ × 293¹

Step-3: Factors of 36904

List of positive integer factors of 36904 that divides 36904 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 659, 1318, 2636, 4613, 5272, 9226, 18452

Step-4: Factors of 36918

List of positive integer factors of 36918 that divides 36904 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 293, 586, 879, 1758, 2051, 2637, 4102, 5274, 6153, 12306, 18459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36904 and 36918. The biggest common factor number is the GCF number.
So the greatest common factor 36904 and 36918 is 14.

Also check out the Least Common Multiple of 36904 and 36918