What is the Greatest Common Factor of 37605 and 37611?

Greatest common factor (GCF) of 37605 and 37611 is 3.

GCF(37605,37611) = 3

We will now calculate the prime factors of 37605 and 37611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37605 and 37611.

How to find the GCF of 37605 and 37611?

We will first find the prime factorization of 37605 and 37611. After we will calculate the factors of 37605 and 37611 and find the biggest common factor number .

Step-1: Prime Factorization of 37605

Prime factors of 37605 are 3, 5, 23, 109. Prime factorization of 37605 in exponential form is:

37605 = 3¹ × 5¹ × 23¹ × 109¹

Step-2: Prime Factorization of 37611

Prime factors of 37611 are 3, 7, 199. Prime factorization of 37611 in exponential form is:

37611 = 3³ × 7¹ × 199¹

Step-3: Factors of 37605

List of positive integer factors of 37605 that divides 37605 without a remainder.

1, 3, 5, 15, 23, 69, 109, 115, 327, 345, 545, 1635, 2507, 7521, 12535

Step-4: Factors of 37611

List of positive integer factors of 37611 that divides 37605 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 199, 597, 1393, 1791, 4179, 5373, 12537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37605 and 37611. The biggest common factor number is the GCF number.
So the greatest common factor 37605 and 37611 is 3.

Also check out the Least Common Multiple of 37605 and 37611