What is the Greatest Common Factor of 36914 and 36918?

Greatest common factor (GCF) of 36914 and 36918 is 2.

GCF(36914,36918) = 2

We will now calculate the prime factors of 36914 and 36918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36914 and 36918.

How to find the GCF of 36914 and 36918?

We will first find the prime factorization of 36914 and 36918. After we will calculate the factors of 36914 and 36918 and find the biggest common factor number .

Step-1: Prime Factorization of 36914

Prime factors of 36914 are 2, 18457. Prime factorization of 36914 in exponential form is:

36914 = 2¹ × 18457¹

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 36914

List of positive integer factors of 36914 that divides 36914 without a remainder.

1, 2, 18457

Step-4: Factors of 36918

List of positive integer factors of 36918 that divides 36914 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 36914 and 36918. The biggest common factor number is the GCF number.
So the greatest common factor 36914 and 36918 is 2.

Also check out the Least Common Multiple of 36914 and 36918