What is the Greatest Common Factor of 37295 and 37304?

Greatest common factor (GCF) of 37295 and 37304 is 1.

GCF(37295,37304) = 1

We will now calculate the prime factors of 37295 and 37304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37295 and 37304.

How to find the GCF of 37295 and 37304?

We will first find the prime factorization of 37295 and 37304. After we will calculate the factors of 37295 and 37304 and find the biggest common factor number .

Step-1: Prime Factorization of 37295

Prime factors of 37295 are 5, 7459. Prime factorization of 37295 in exponential form is:

37295 = 5¹ × 7459¹

Step-2: Prime Factorization of 37304

Prime factors of 37304 are 2, 4663. Prime factorization of 37304 in exponential form is:

37304 = 2³ × 4663¹

Step-3: Factors of 37295

List of positive integer factors of 37295 that divides 37295 without a remainder.

1, 5, 7459

Step-4: Factors of 37304

List of positive integer factors of 37304 that divides 37295 without a remainder.

1, 2, 4, 8, 4663, 9326, 18652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37295 and 37304. The biggest common factor number is the GCF number.
So the greatest common factor 37295 and 37304 is 1.

Also check out the Least Common Multiple of 37295 and 37304