What is the Greatest Common Factor of 37074 and 37089?

Greatest common factor (GCF) of 37074 and 37089 is 3.

GCF(37074,37089) = 3

We will now calculate the prime factors of 37074 and 37089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37074 and 37089.

How to find the GCF of 37074 and 37089?

We will first find the prime factorization of 37074 and 37089. After we will calculate the factors of 37074 and 37089 and find the biggest common factor number .

Step-1: Prime Factorization of 37074

Prime factors of 37074 are 2, 3, 37, 167. Prime factorization of 37074 in exponential form is:

37074 = 2¹ × 3¹ × 37¹ × 167¹

Step-2: Prime Factorization of 37089

Prime factors of 37089 are 3, 13, 317. Prime factorization of 37089 in exponential form is:

37089 = 3² × 13¹ × 317¹

Step-3: Factors of 37074

List of positive integer factors of 37074 that divides 37074 without a remainder.

1, 2, 3, 6, 37, 74, 111, 167, 222, 334, 501, 1002, 6179, 12358, 18537

Step-4: Factors of 37089

List of positive integer factors of 37089 that divides 37074 without a remainder.

1, 3, 9, 13, 39, 117, 317, 951, 2853, 4121, 12363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37074 and 37089. The biggest common factor number is the GCF number.
So the greatest common factor 37074 and 37089 is 3.

Also check out the Least Common Multiple of 37074 and 37089