What is the Greatest Common Factor of 36918 and 36925?

Greatest common factor (GCF) of 36918 and 36925 is 7.

GCF(36918,36925) = 7

We will now calculate the prime factors of 36918 and 36925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36918 and 36925.

How to find the GCF of 36918 and 36925?

We will first find the prime factorization of 36918 and 36925. After we will calculate the factors of 36918 and 36925 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36925

Prime factors of 36925 are 5, 7, 211. Prime factorization of 36925 in exponential form is:

36925 = 5² × 7¹ × 211¹

Step-3: Factors of 36918

List of positive integer factors of 36918 that divides 36918 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

Step-4: Factors of 36925

List of positive integer factors of 36925 that divides 36918 without a remainder.

1, 5, 7, 25, 35, 175, 211, 1055, 1477, 5275, 7385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36918 and 36925. The biggest common factor number is the GCF number.
So the greatest common factor 36918 and 36925 is 7.

Also check out the Least Common Multiple of 36918 and 36925