What is the Greatest Common Factor of 8265 and 8278?

Greatest common factor (GCF) of 8265 and 8278 is 1.

GCF(8265,8278) = 1

We will now calculate the prime factors of 8265 and 8278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8265 and 8278.

How to find the GCF of 8265 and 8278?

We will first find the prime factorization of 8265 and 8278. After we will calculate the factors of 8265 and 8278 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8278

Prime factors of 8278 are 2, 4139. Prime factorization of 8278 in exponential form is:

8278 = 2¹ × 4139¹

Step-3: Factors of 8265

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

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

Step-4: Factors of 8278

List of positive integer factors of 8278 that divides 8265 without a remainder.

1, 2, 4139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8265 and 8278. The biggest common factor number is the GCF number.
So the greatest common factor 8265 and 8278 is 1.

Also check out the Least Common Multiple of 8265 and 8278