What is the Greatest Common Factor of 36957 and 36966?

Greatest common factor (GCF) of 36957 and 36966 is 3.

GCF(36957,36966) = 3

We will now calculate the prime factors of 36957 and 36966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36957 and 36966.

How to find the GCF of 36957 and 36966?

We will first find the prime factorization of 36957 and 36966. After we will calculate the factors of 36957 and 36966 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 36966

Prime factors of 36966 are 2, 3, 61, 101. Prime factorization of 36966 in exponential form is:

36966 = 2¹ × 3¹ × 61¹ × 101¹

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 36966

List of positive integer factors of 36966 that divides 36957 without a remainder.

1, 2, 3, 6, 61, 101, 122, 183, 202, 303, 366, 606, 6161, 12322, 18483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36957 and 36966. The biggest common factor number is the GCF number.
So the greatest common factor 36957 and 36966 is 3.

Also check out the Least Common Multiple of 36957 and 36966