What is the Greatest Common Factor of 37294 and 37313?

Greatest common factor (GCF) of 37294 and 37313 is 1.

GCF(37294,37313) = 1

We will now calculate the prime factors of 37294 and 37313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37294 and 37313.

How to find the GCF of 37294 and 37313?

We will first find the prime factorization of 37294 and 37313. After we will calculate the factors of 37294 and 37313 and find the biggest common factor number .

Step-1: Prime Factorization of 37294

Prime factors of 37294 are 2, 29, 643. Prime factorization of 37294 in exponential form is:

37294 = 2¹ × 29¹ × 643¹

Step-2: Prime Factorization of 37313

Prime factors of 37313 are 37313. Prime factorization of 37313 in exponential form is:

37313 = 37313¹

Step-3: Factors of 37294

List of positive integer factors of 37294 that divides 37294 without a remainder.

1, 2, 29, 58, 643, 1286, 18647

Step-4: Factors of 37313

List of positive integer factors of 37313 that divides 37294 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37294 and 37313. The biggest common factor number is the GCF number.
So the greatest common factor 37294 and 37313 is 1.

Also check out the Least Common Multiple of 37294 and 37313