What is the Greatest Common Factor of 36957 and 36969?

Greatest common factor (GCF) of 36957 and 36969 is 3.

GCF(36957,36969) = 3

We will now calculate the prime factors of 36957 and 36969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36957 and 36969.

How to find the GCF of 36957 and 36969?

We will first find the prime factorization of 36957 and 36969. After we will calculate the factors of 36957 and 36969 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 36969

Prime factors of 36969 are 3, 12323. Prime factorization of 36969 in exponential form is:

36969 = 3¹ × 12323¹

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 36969

List of positive integer factors of 36969 that divides 36957 without a remainder.

1, 3, 12323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36957 and 36969. The biggest common factor number is the GCF number.
So the greatest common factor 36957 and 36969 is 3.

Also check out the Least Common Multiple of 36957 and 36969