What is the Greatest Common Factor of 37719 and 37725?

Greatest common factor (GCF) of 37719 and 37725 is 3.

GCF(37719,37725) = 3

We will now calculate the prime factors of 37719 and 37725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37719 and 37725.

How to find the GCF of 37719 and 37725?

We will first find the prime factorization of 37719 and 37725. After we will calculate the factors of 37719 and 37725 and find the biggest common factor number .

Step-1: Prime Factorization of 37719

Prime factors of 37719 are 3, 11, 127. Prime factorization of 37719 in exponential form is:

37719 = 3³ × 11¹ × 127¹

Step-2: Prime Factorization of 37725

Prime factors of 37725 are 3, 5, 503. Prime factorization of 37725 in exponential form is:

37725 = 3¹ × 5² × 503¹

Step-3: Factors of 37719

List of positive integer factors of 37719 that divides 37719 without a remainder.

1, 3, 9, 11, 27, 33, 99, 127, 297, 381, 1143, 1397, 3429, 4191, 12573

Step-4: Factors of 37725

List of positive integer factors of 37725 that divides 37719 without a remainder.

1, 3, 5, 15, 25, 75, 503, 1509, 2515, 7545, 12575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37719 and 37725. The biggest common factor number is the GCF number.
So the greatest common factor 37719 and 37725 is 3.

Also check out the Least Common Multiple of 37719 and 37725