What is the Greatest Common Factor of 36931 and 36938?

Greatest common factor (GCF) of 36931 and 36938 is 1.

GCF(36931,36938) = 1

We will now calculate the prime factors of 36931 and 36938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36931 and 36938.

How to find the GCF of 36931 and 36938?

We will first find the prime factorization of 36931 and 36938. After we will calculate the factors of 36931 and 36938 and find the biggest common factor number .

Step-1: Prime Factorization of 36931

Prime factors of 36931 are 36931. Prime factorization of 36931 in exponential form is:

36931 = 36931¹

Step-2: Prime Factorization of 36938

Prime factors of 36938 are 2, 11, 23, 73. Prime factorization of 36938 in exponential form is:

36938 = 2¹ × 11¹ × 23¹ × 73¹

Step-3: Factors of 36931

List of positive integer factors of 36931 that divides 36931 without a remainder.

Step-4: Factors of 36938

List of positive integer factors of 36938 that divides 36931 without a remainder.

1, 2, 11, 22, 23, 46, 73, 146, 253, 506, 803, 1606, 1679, 3358, 18469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36931 and 36938. The biggest common factor number is the GCF number.
So the greatest common factor 36931 and 36938 is 1.

Also check out the Least Common Multiple of 36931 and 36938