What is the Greatest Common Factor of 37294 and 37307?

Greatest common factor (GCF) of 37294 and 37307 is 1.

GCF(37294,37307) = 1

We will now calculate the prime factors of 37294 and 37307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37294 and 37307.

How to find the GCF of 37294 and 37307?

We will first find the prime factorization of 37294 and 37307. After we will calculate the factors of 37294 and 37307 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 37307

Prime factors of 37307 are 37307. Prime factorization of 37307 in exponential form is:

37307 = 37307¹

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 37307

List of positive integer factors of 37307 that divides 37294 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37294 and 37307. The biggest common factor number is the GCF number.
So the greatest common factor 37294 and 37307 is 1.

Also check out the Least Common Multiple of 37294 and 37307