What is the Greatest Common Factor of 37102 and 37115?

Greatest common factor (GCF) of 37102 and 37115 is 13.

GCF(37102,37115) = 13

We will now calculate the prime factors of 37102 and 37115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37102 and 37115.

How to find the GCF of 37102 and 37115?

We will first find the prime factorization of 37102 and 37115. After we will calculate the factors of 37102 and 37115 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37115

Prime factors of 37115 are 5, 13, 571. Prime factorization of 37115 in exponential form is:

37115 = 5¹ × 13¹ × 571¹

Step-3: Factors of 37102

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

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

Step-4: Factors of 37115

List of positive integer factors of 37115 that divides 37102 without a remainder.

1, 5, 13, 65, 571, 2855, 7423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37102 and 37115. The biggest common factor number is the GCF number.
So the greatest common factor 37102 and 37115 is 13.

Also check out the Least Common Multiple of 37102 and 37115