What is the Greatest Common Factor of 1275 and 1279?

Greatest common factor (GCF) of 1275 and 1279 is 1.

GCF(1275,1279) = 1

We will now calculate the prime factors of 1275 and 1279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1275 and 1279.

How to find the GCF of 1275 and 1279?

We will first find the prime factorization of 1275 and 1279. After we will calculate the factors of 1275 and 1279 and find the biggest common factor number .

Step-1: Prime Factorization of 1275

Prime factors of 1275 are 3, 5, 17. Prime factorization of 1275 in exponential form is:

1275 = 3¹ × 5² × 17¹

Step-2: Prime Factorization of 1279

Prime factors of 1279 are 1279. Prime factorization of 1279 in exponential form is:

1279 = 1279¹

Step-3: Factors of 1275

List of positive integer factors of 1275 that divides 1275 without a remainder.

1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425

Step-4: Factors of 1279

List of positive integer factors of 1279 that divides 1275 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1275 and 1279. The biggest common factor number is the GCF number.
So the greatest common factor 1275 and 1279 is 1.

Also check out the Least Common Multiple of 1275 and 1279