What is the Greatest Common Factor of 37587 and 37605?

Greatest common factor (GCF) of 37587 and 37605 is 3.

GCF(37587,37605) = 3

We will now calculate the prime factors of 37587 and 37605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37587 and 37605.

How to find the GCF of 37587 and 37605?

We will first find the prime factorization of 37587 and 37605. After we will calculate the factors of 37587 and 37605 and find the biggest common factor number .

Step-1: Prime Factorization of 37587

Prime factors of 37587 are 3, 11, 17, 67. Prime factorization of 37587 in exponential form is:

37587 = 3¹ × 11¹ × 17¹ × 67¹

Step-2: 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-3: Factors of 37587

List of positive integer factors of 37587 that divides 37587 without a remainder.

1, 3, 11, 17, 33, 51, 67, 187, 201, 561, 737, 1139, 2211, 3417, 12529

Step-4: Factors of 37605

List of positive integer factors of 37605 that divides 37587 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37587 and 37605. The biggest common factor number is the GCF number.
So the greatest common factor 37587 and 37605 is 3.

Also check out the Least Common Multiple of 37587 and 37605