What is the Greatest Common Factor of 37227 and 37236?

Greatest common factor (GCF) of 37227 and 37236 is 3.

GCF(37227,37236) = 3

We will now calculate the prime factors of 37227 and 37236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37227 and 37236.

How to find the GCF of 37227 and 37236?

We will first find the prime factorization of 37227 and 37236. After we will calculate the factors of 37227 and 37236 and find the biggest common factor number .

Step-1: Prime Factorization of 37227

Prime factors of 37227 are 3, 12409. Prime factorization of 37227 in exponential form is:

37227 = 3¹ × 12409¹

Step-2: Prime Factorization of 37236

Prime factors of 37236 are 2, 3, 29, 107. Prime factorization of 37236 in exponential form is:

37236 = 2² × 3¹ × 29¹ × 107¹

Step-3: Factors of 37227

List of positive integer factors of 37227 that divides 37227 without a remainder.

1, 3, 12409

Step-4: Factors of 37236

List of positive integer factors of 37236 that divides 37227 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 107, 116, 174, 214, 321, 348, 428, 642, 1284, 3103, 6206, 9309, 12412, 18618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37227 and 37236. The biggest common factor number is the GCF number.
So the greatest common factor 37227 and 37236 is 3.

Also check out the Least Common Multiple of 37227 and 37236