What is the Greatest Common Factor of 36950 and 36964?

Greatest common factor (GCF) of 36950 and 36964 is 2.

GCF(36950,36964) = 2

We will now calculate the prime factors of 36950 and 36964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36950 and 36964.

How to find the GCF of 36950 and 36964?

We will first find the prime factorization of 36950 and 36964. After we will calculate the factors of 36950 and 36964 and find the biggest common factor number .

Step-1: Prime Factorization of 36950

Prime factors of 36950 are 2, 5, 739. Prime factorization of 36950 in exponential form is:

36950 = 2¹ × 5² × 739¹

Step-2: Prime Factorization of 36964

Prime factors of 36964 are 2, 9241. Prime factorization of 36964 in exponential form is:

36964 = 2² × 9241¹

Step-3: Factors of 36950

List of positive integer factors of 36950 that divides 36950 without a remainder.

1, 2, 5, 10, 25, 50, 739, 1478, 3695, 7390, 18475

Step-4: Factors of 36964

List of positive integer factors of 36964 that divides 36950 without a remainder.

1, 2, 4, 9241, 18482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36950 and 36964. The biggest common factor number is the GCF number.
So the greatest common factor 36950 and 36964 is 2.

Also check out the Least Common Multiple of 36950 and 36964