What is the Greatest Common Factor of 37005 and 37017?

Greatest common factor (GCF) of 37005 and 37017 is 3.

GCF(37005,37017) = 3

We will now calculate the prime factors of 37005 and 37017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37005 and 37017.

How to find the GCF of 37005 and 37017?

We will first find the prime factorization of 37005 and 37017. After we will calculate the factors of 37005 and 37017 and find the biggest common factor number .

Step-1: Prime Factorization of 37005

Prime factors of 37005 are 3, 5, 2467. Prime factorization of 37005 in exponential form is:

37005 = 3¹ × 5¹ × 2467¹

Step-2: Prime Factorization of 37017

Prime factors of 37017 are 3, 457. Prime factorization of 37017 in exponential form is:

37017 = 3⁴ × 457¹

Step-3: Factors of 37005

List of positive integer factors of 37005 that divides 37005 without a remainder.

1, 3, 5, 15, 2467, 7401, 12335

Step-4: Factors of 37017

List of positive integer factors of 37017 that divides 37005 without a remainder.

1, 3, 9, 27, 81, 457, 1371, 4113, 12339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37005 and 37017. The biggest common factor number is the GCF number.
So the greatest common factor 37005 and 37017 is 3.

Also check out the Least Common Multiple of 37005 and 37017