What is the Greatest Common Factor of 37356 and 37376?

Greatest common factor (GCF) of 37356 and 37376 is 4.

GCF(37356,37376) = 4

We will now calculate the prime factors of 37356 and 37376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37356 and 37376.

How to find the GCF of 37356 and 37376?

We will first find the prime factorization of 37356 and 37376. After we will calculate the factors of 37356 and 37376 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 37376

Prime factors of 37376 are 2, 73. Prime factorization of 37376 in exponential form is:

37376 = 2⁹ × 73¹

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 37376

List of positive integer factors of 37376 that divides 37356 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 256, 292, 512, 584, 1168, 2336, 4672, 9344, 18688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37356 and 37376. The biggest common factor number is the GCF number.
So the greatest common factor 37356 and 37376 is 4.

Also check out the Least Common Multiple of 37356 and 37376