What is the Greatest Common Factor of 36944 and 36951?

Greatest common factor (GCF) of 36944 and 36951 is 1.

GCF(36944,36951) = 1

We will now calculate the prime factors of 36944 and 36951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36944 and 36951.

How to find the GCF of 36944 and 36951?

We will first find the prime factorization of 36944 and 36951. After we will calculate the factors of 36944 and 36951 and find the biggest common factor number .

Step-1: Prime Factorization of 36944

Prime factors of 36944 are 2, 2309. Prime factorization of 36944 in exponential form is:

36944 = 2⁴ × 2309¹

Step-2: Prime Factorization of 36951

Prime factors of 36951 are 3, 109, 113. Prime factorization of 36951 in exponential form is:

36951 = 3¹ × 109¹ × 113¹

Step-3: Factors of 36944

List of positive integer factors of 36944 that divides 36944 without a remainder.

1, 2, 4, 8, 16, 2309, 4618, 9236, 18472

Step-4: Factors of 36951

List of positive integer factors of 36951 that divides 36944 without a remainder.

1, 3, 109, 113, 327, 339, 12317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36944 and 36951. The biggest common factor number is the GCF number.
So the greatest common factor 36944 and 36951 is 1.

Also check out the Least Common Multiple of 36944 and 36951