What is the Greatest Common Factor of 8257 and 8265?

Greatest common factor (GCF) of 8257 and 8265 is 1.

GCF(8257,8265) = 1

We will now calculate the prime factors of 8257 and 8265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8257 and 8265.

How to find the GCF of 8257 and 8265?

We will first find the prime factorization of 8257 and 8265. After we will calculate the factors of 8257 and 8265 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 8265

Prime factors of 8265 are 3, 5, 19, 29. Prime factorization of 8265 in exponential form is:

8265 = 3¹ × 5¹ × 19¹ × 29¹

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 8265

List of positive integer factors of 8265 that divides 8257 without a remainder.

1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8257 and 8265. The biggest common factor number is the GCF number.
So the greatest common factor 8257 and 8265 is 1.

Also check out the Least Common Multiple of 8257 and 8265