What is the Greatest Common Factor of 37338 and 37347?

Greatest common factor (GCF) of 37338 and 37347 is 3.

GCF(37338,37347) = 3

We will now calculate the prime factors of 37338 and 37347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37338 and 37347.

How to find the GCF of 37338 and 37347?

We will first find the prime factorization of 37338 and 37347. After we will calculate the factors of 37338 and 37347 and find the biggest common factor number .

Step-1: Prime Factorization of 37338

Prime factors of 37338 are 2, 3, 7, 127. Prime factorization of 37338 in exponential form is:

37338 = 2¹ × 3¹ × 7² × 127¹

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 37338

List of positive integer factors of 37338 that divides 37338 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 127, 147, 254, 294, 381, 762, 889, 1778, 2667, 5334, 6223, 12446, 18669

Step-4: Factors of 37347

List of positive integer factors of 37347 that divides 37338 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37338 and 37347. The biggest common factor number is the GCF number.
So the greatest common factor 37338 and 37347 is 3.

Also check out the Least Common Multiple of 37338 and 37347