What is the Greatest Common Factor of 37298 and 37309?

Greatest common factor (GCF) of 37298 and 37309 is 1.

GCF(37298,37309) = 1

We will now calculate the prime factors of 37298 and 37309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37298 and 37309.

How to find the GCF of 37298 and 37309?

We will first find the prime factorization of 37298 and 37309. After we will calculate the factors of 37298 and 37309 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 37309

Prime factors of 37309 are 37309. Prime factorization of 37309 in exponential form is:

37309 = 37309¹

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 37309

List of positive integer factors of 37309 that divides 37298 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37298 and 37309. The biggest common factor number is the GCF number.
So the greatest common factor 37298 and 37309 is 1.

Also check out the Least Common Multiple of 37298 and 37309