What is the Greatest Common Factor of 7278 and 7295?

Greatest common factor (GCF) of 7278 and 7295 is 1.

GCF(7278,7295) = 1

We will now calculate the prime factors of 7278 and 7295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7278 and 7295.

How to find the GCF of 7278 and 7295?

We will first find the prime factorization of 7278 and 7295. After we will calculate the factors of 7278 and 7295 and find the biggest common factor number .

Step-1: Prime Factorization of 7278

Prime factors of 7278 are 2, 3, 1213. Prime factorization of 7278 in exponential form is:

7278 = 2¹ × 3¹ × 1213¹

Step-2: Prime Factorization of 7295

Prime factors of 7295 are 5, 1459. Prime factorization of 7295 in exponential form is:

7295 = 5¹ × 1459¹

Step-3: Factors of 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1, 2, 3, 6, 1213, 2426, 3639

Step-4: Factors of 7295

List of positive integer factors of 7295 that divides 7278 without a remainder.

1, 5, 1459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7278 and 7295. The biggest common factor number is the GCF number.
So the greatest common factor 7278 and 7295 is 1.

Also check out the Least Common Multiple of 7278 and 7295