What is the Greatest Common Factor of 37296 and 37311?

Greatest common factor (GCF) of 37296 and 37311 is 3.

GCF(37296,37311) = 3

We will now calculate the prime factors of 37296 and 37311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37296 and 37311.

How to find the GCF of 37296 and 37311?

We will first find the prime factorization of 37296 and 37311. After we will calculate the factors of 37296 and 37311 and find the biggest common factor number .

Step-1: Prime Factorization of 37296

Prime factors of 37296 are 2, 3, 7, 37. Prime factorization of 37296 in exponential form is:

37296 = 2⁴ × 3² × 7¹ × 37¹

Step-2: Prime Factorization of 37311

Prime factors of 37311 are 3, 12437. Prime factorization of 37311 in exponential form is:

37311 = 3¹ × 12437¹

Step-3: Factors of 37296

List of positive integer factors of 37296 that divides 37296 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 37, 42, 48, 56, 63, 72, 74, 84, 111, 112, 126, 144, 148, 168, 222, 252, 259, 296, 333, 336, 444, 504, 518, 592, 666, 777, 888, 1008, 1036, 1332, 1554, 1776, 2072, 2331, 2664, 3108, 4144, 4662, 5328, 6216, 9324, 12432, 18648

Step-4: Factors of 37311

List of positive integer factors of 37311 that divides 37296 without a remainder.

1, 3, 12437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37296 and 37311. The biggest common factor number is the GCF number.
So the greatest common factor 37296 and 37311 is 3.

Also check out the Least Common Multiple of 37296 and 37311