What is the Greatest Common Factor of 37089 and 37102?

Greatest common factor (GCF) of 37089 and 37102 is 13.

GCF(37089,37102) = 13

We will now calculate the prime factors of 37089 and 37102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37089 and 37102.

How to find the GCF of 37089 and 37102?

We will first find the prime factorization of 37089 and 37102. After we will calculate the factors of 37089 and 37102 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37102

Prime factors of 37102 are 2, 13, 1427. Prime factorization of 37102 in exponential form is:

37102 = 2¹ × 13¹ × 1427¹

Step-3: Factors of 37089

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

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

Step-4: Factors of 37102

List of positive integer factors of 37102 that divides 37089 without a remainder.

1, 2, 13, 26, 1427, 2854, 18551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37089 and 37102. The biggest common factor number is the GCF number.
So the greatest common factor 37089 and 37102 is 13.

Also check out the Least Common Multiple of 37089 and 37102