What is the Greatest Common Factor of 37352 and 37364?

Greatest common factor (GCF) of 37352 and 37364 is 4.

GCF(37352,37364) = 4

We will now calculate the prime factors of 37352 and 37364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37352 and 37364.

How to find the GCF of 37352 and 37364?

We will first find the prime factorization of 37352 and 37364. After we will calculate the factors of 37352 and 37364 and find the biggest common factor number .

Step-1: Prime Factorization of 37352

Prime factors of 37352 are 2, 7, 23, 29. Prime factorization of 37352 in exponential form is:

37352 = 2³ × 7¹ × 23¹ × 29¹

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 37352

List of positive integer factors of 37352 that divides 37352 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 29, 46, 56, 58, 92, 116, 161, 184, 203, 232, 322, 406, 644, 667, 812, 1288, 1334, 1624, 2668, 4669, 5336, 9338, 18676

Step-4: Factors of 37364

List of positive integer factors of 37364 that divides 37352 without a remainder.

1, 2, 4, 9341, 18682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37352 and 37364. The biggest common factor number is the GCF number.
So the greatest common factor 37352 and 37364 is 4.

Also check out the Least Common Multiple of 37352 and 37364