What is the Greatest Common Factor of 37356 and 37364?

Greatest common factor (GCF) of 37356 and 37364 is 4.

GCF(37356,37364) = 4

We will now calculate the prime factors of 37356 and 37364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37356 and 37364.

How to find the GCF of 37356 and 37364?

We will first find the prime factorization of 37356 and 37364. After we will calculate the factors of 37356 and 37364 and find the biggest common factor number .

Step-1: Prime Factorization of 37356

Prime factors of 37356 are 2, 3, 11, 283. Prime factorization of 37356 in exponential form is:

37356 = 2² × 3¹ × 11¹ × 283¹

Step-2: Prime Factorization of 37364

Prime factors of 37364 are 2, 9341. Prime factorization of 37364 in exponential form is:

37364 = 2² × 9341¹

Step-3: Factors of 37356

List of positive integer factors of 37356 that divides 37356 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 283, 566, 849, 1132, 1698, 3113, 3396, 6226, 9339, 12452, 18678

Step-4: Factors of 37364

List of positive integer factors of 37364 that divides 37356 without a remainder.

1, 2, 4, 9341, 18682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37356 and 37364. The biggest common factor number is the GCF number.
So the greatest common factor 37356 and 37364 is 4.

Also check out the Least Common Multiple of 37356 and 37364