What is the Greatest Common Factor of 8257 and 8274?

Greatest common factor (GCF) of 8257 and 8274 is 1.

GCF(8257,8274) = 1

We will now calculate the prime factors of 8257 and 8274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8257 and 8274.

How to find the GCF of 8257 and 8274?

We will first find the prime factorization of 8257 and 8274. After we will calculate the factors of 8257 and 8274 and find the biggest common factor number .

Step-1: Prime Factorization of 8257

Prime factors of 8257 are 23, 359. Prime factorization of 8257 in exponential form is:

8257 = 23¹ × 359¹

Step-2: Prime Factorization of 8274

Prime factors of 8274 are 2, 3, 7, 197. Prime factorization of 8274 in exponential form is:

8274 = 2¹ × 3¹ × 7¹ × 197¹

Step-3: Factors of 8257

List of positive integer factors of 8257 that divides 8257 without a remainder.

1, 23, 359

Step-4: Factors of 8274

List of positive integer factors of 8274 that divides 8257 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8257 and 8274. The biggest common factor number is the GCF number.
So the greatest common factor 8257 and 8274 is 1.

Also check out the Least Common Multiple of 8257 and 8274