What is the Greatest Common Factor of 37298 and 37315?

Greatest common factor (GCF) of 37298 and 37315 is 17.

GCF(37298,37315) = 17

We will now calculate the prime factors of 37298 and 37315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37298 and 37315.

How to find the GCF of 37298 and 37315?

We will first find the prime factorization of 37298 and 37315. After we will calculate the factors of 37298 and 37315 and find the biggest common factor number .

Step-1: Prime Factorization of 37298

Prime factors of 37298 are 2, 17, 1097. Prime factorization of 37298 in exponential form is:

37298 = 2¹ × 17¹ × 1097¹

Step-2: Prime Factorization of 37315

Prime factors of 37315 are 5, 17, 439. Prime factorization of 37315 in exponential form is:

37315 = 5¹ × 17¹ × 439¹

Step-3: Factors of 37298

List of positive integer factors of 37298 that divides 37298 without a remainder.

1, 2, 17, 34, 1097, 2194, 18649

Step-4: Factors of 37315

List of positive integer factors of 37315 that divides 37298 without a remainder.

1, 5, 17, 85, 439, 2195, 7463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37298 and 37315. The biggest common factor number is the GCF number.
So the greatest common factor 37298 and 37315 is 17.

Also check out the Least Common Multiple of 37298 and 37315