What is the Greatest Common Factor of 1275 and 1294?

Greatest common factor (GCF) of 1275 and 1294 is 1.

GCF(1275,1294) = 1

We will now calculate the prime factors of 1275 and 1294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1275 and 1294.

How to find the GCF of 1275 and 1294?

We will first find the prime factorization of 1275 and 1294. After we will calculate the factors of 1275 and 1294 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 1294

Prime factors of 1294 are 2, 647. Prime factorization of 1294 in exponential form is:

1294 = 2¹ × 647¹

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 1294

List of positive integer factors of 1294 that divides 1275 without a remainder.

1, 2, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1275 and 1294. The biggest common factor number is the GCF number.
So the greatest common factor 1275 and 1294 is 1.

Also check out the Least Common Multiple of 1275 and 1294