What is the Greatest Common Factor of 37352 and 37359?

Greatest common factor (GCF) of 37352 and 37359 is 7.

GCF(37352,37359) = 7

We will now calculate the prime factors of 37352 and 37359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37352 and 37359.

How to find the GCF of 37352 and 37359?

We will first find the prime factorization of 37352 and 37359. After we will calculate the factors of 37352 and 37359 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 37359

Prime factors of 37359 are 3, 7, 593. Prime factorization of 37359 in exponential form is:

37359 = 3² × 7¹ × 593¹

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 37359

List of positive integer factors of 37359 that divides 37352 without a remainder.

1, 3, 7, 9, 21, 63, 593, 1779, 4151, 5337, 12453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37352 and 37359. The biggest common factor number is the GCF number.
So the greatest common factor 37352 and 37359 is 7.

Also check out the Least Common Multiple of 37352 and 37359