What is the Greatest Common Factor of 37032 and 37036?

Greatest common factor (GCF) of 37032 and 37036 is 4.

GCF(37032,37036) = 4

We will now calculate the prime factors of 37032 and 37036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37032 and 37036.

How to find the GCF of 37032 and 37036?

We will first find the prime factorization of 37032 and 37036. After we will calculate the factors of 37032 and 37036 and find the biggest common factor number .

Step-1: Prime Factorization of 37032

Prime factors of 37032 are 2, 3, 1543. Prime factorization of 37032 in exponential form is:

37032 = 2³ × 3¹ × 1543¹

Step-2: Prime Factorization of 37036

Prime factors of 37036 are 2, 47, 197. Prime factorization of 37036 in exponential form is:

37036 = 2² × 47¹ × 197¹

Step-3: Factors of 37032

List of positive integer factors of 37032 that divides 37032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1543, 3086, 4629, 6172, 9258, 12344, 18516

Step-4: Factors of 37036

List of positive integer factors of 37036 that divides 37032 without a remainder.

1, 2, 4, 47, 94, 188, 197, 394, 788, 9259, 18518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37032 and 37036. The biggest common factor number is the GCF number.
So the greatest common factor 37032 and 37036 is 4.

Also check out the Least Common Multiple of 37032 and 37036