What is the Greatest Common Factor of 37332 and 37347?

Greatest common factor (GCF) of 37332 and 37347 is 3.

GCF(37332,37347) = 3

We will now calculate the prime factors of 37332 and 37347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37332 and 37347.

How to find the GCF of 37332 and 37347?

We will first find the prime factorization of 37332 and 37347. After we will calculate the factors of 37332 and 37347 and find the biggest common factor number .

Step-1: Prime Factorization of 37332

Prime factors of 37332 are 2, 3, 17, 61. Prime factorization of 37332 in exponential form is:

37332 = 2² × 3² × 17¹ × 61¹

Step-2: Prime Factorization of 37347

Prime factors of 37347 are 3, 59, 211. Prime factorization of 37347 in exponential form is:

37347 = 3¹ × 59¹ × 211¹

Step-3: Factors of 37332

List of positive integer factors of 37332 that divides 37332 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 61, 68, 102, 122, 153, 183, 204, 244, 306, 366, 549, 612, 732, 1037, 1098, 2074, 2196, 3111, 4148, 6222, 9333, 12444, 18666

Step-4: Factors of 37347

List of positive integer factors of 37347 that divides 37332 without a remainder.

1, 3, 59, 177, 211, 633, 12449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37332 and 37347. The biggest common factor number is the GCF number.
So the greatest common factor 37332 and 37347 is 3.

Also check out the Least Common Multiple of 37332 and 37347