What is the Greatest Common Factor of 2279 and 2295?

Greatest common factor (GCF) of 2279 and 2295 is 1.

GCF(2279,2295) = 1

We will now calculate the prime factors of 2279 and 2295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2279 and 2295.

How to find the GCF of 2279 and 2295?

We will first find the prime factorization of 2279 and 2295. After we will calculate the factors of 2279 and 2295 and find the biggest common factor number .

Step-1: Prime Factorization of 2279

Prime factors of 2279 are 43, 53. Prime factorization of 2279 in exponential form is:

2279 = 43¹ × 53¹

Step-2: Prime Factorization of 2295

Prime factors of 2295 are 3, 5, 17. Prime factorization of 2295 in exponential form is:

2295 = 3³ × 5¹ × 17¹

Step-3: Factors of 2279

List of positive integer factors of 2279 that divides 2279 without a remainder.

1, 43, 53

Step-4: Factors of 2295

List of positive integer factors of 2295 that divides 2279 without a remainder.

1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2279 and 2295. The biggest common factor number is the GCF number.
So the greatest common factor 2279 and 2295 is 1.

Also check out the Least Common Multiple of 2279 and 2295