What is the Greatest Common Factor of 37352 and 37372?

Greatest common factor (GCF) of 37352 and 37372 is 4.

GCF(37352,37372) = 4

We will now calculate the prime factors of 37352 and 37372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37352 and 37372.

How to find the GCF of 37352 and 37372?

We will first find the prime factorization of 37352 and 37372. After we will calculate the factors of 37352 and 37372 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 37372

Prime factors of 37372 are 2, 9343. Prime factorization of 37372 in exponential form is:

37372 = 2² × 9343¹

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 37372

List of positive integer factors of 37372 that divides 37352 without a remainder.

1, 2, 4, 9343, 18686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37352 and 37372. The biggest common factor number is the GCF number.
So the greatest common factor 37352 and 37372 is 4.

Also check out the Least Common Multiple of 37352 and 37372