What is the Greatest Common Factor of 39257 and 39274?

Greatest common factor (GCF) of 39257 and 39274 is 1.

GCF(39257,39274) = 1

We will now calculate the prime factors of 39257 and 39274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39257 and 39274.

How to find the GCF of 39257 and 39274?

We will first find the prime factorization of 39257 and 39274. After we will calculate the factors of 39257 and 39274 and find the biggest common factor number .

Step-1: Prime Factorization of 39257

Prime factors of 39257 are 37, 1061. Prime factorization of 39257 in exponential form is:

39257 = 37¹ × 1061¹

Step-2: Prime Factorization of 39274

Prime factors of 39274 are 2, 73, 269. Prime factorization of 39274 in exponential form is:

39274 = 2¹ × 73¹ × 269¹

Step-3: Factors of 39257

List of positive integer factors of 39257 that divides 39257 without a remainder.

1, 37, 1061

Step-4: Factors of 39274

List of positive integer factors of 39274 that divides 39257 without a remainder.

1, 2, 73, 146, 269, 538, 19637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39257 and 39274. The biggest common factor number is the GCF number.
So the greatest common factor 39257 and 39274 is 1.

Also check out the Least Common Multiple of 39257 and 39274