What is the Greatest Common Factor of 36957 and 36961?

Greatest common factor (GCF) of 36957 and 36961 is 1.

GCF(36957,36961) = 1

We will now calculate the prime factors of 36957 and 36961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36957 and 36961.

How to find the GCF of 36957 and 36961?

We will first find the prime factorization of 36957 and 36961. After we will calculate the factors of 36957 and 36961 and find the biggest common factor number .

Step-1: Prime Factorization of 36957

Prime factors of 36957 are 3, 97, 127. Prime factorization of 36957 in exponential form is:

36957 = 3¹ × 97¹ × 127¹

Step-2: Prime Factorization of 36961

Prime factors of 36961 are 23, 1607. Prime factorization of 36961 in exponential form is:

36961 = 23¹ × 1607¹

Step-3: Factors of 36957

List of positive integer factors of 36957 that divides 36957 without a remainder.

1, 3, 97, 127, 291, 381, 12319

Step-4: Factors of 36961

List of positive integer factors of 36961 that divides 36957 without a remainder.

1, 23, 1607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36957 and 36961. The biggest common factor number is the GCF number.
So the greatest common factor 36957 and 36961 is 1.

Also check out the Least Common Multiple of 36957 and 36961