What is the Greatest Common Factor of 1275 and 1289?

Greatest common factor (GCF) of 1275 and 1289 is 1.

GCF(1275,1289) = 1

We will now calculate the prime factors of 1275 and 1289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1275 and 1289.

How to find the GCF of 1275 and 1289?

We will first find the prime factorization of 1275 and 1289. After we will calculate the factors of 1275 and 1289 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 1289

Prime factors of 1289 are 1289. Prime factorization of 1289 in exponential form is:

1289 = 1289¹

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 1289

List of positive integer factors of 1289 that divides 1275 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1275 and 1289. The biggest common factor number is the GCF number.
So the greatest common factor 1275 and 1289 is 1.

Also check out the Least Common Multiple of 1275 and 1289