What is the Greatest Common Factor of 1274 and 1294?

Greatest common factor (GCF) of 1274 and 1294 is 2.

GCF(1274,1294) = 2

We will now calculate the prime factors of 1274 and 1294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1274 and 1294.

How to find the GCF of 1274 and 1294?

We will first find the prime factorization of 1274 and 1294. After we will calculate the factors of 1274 and 1294 and find the biggest common factor number .

Step-1: Prime Factorization of 1274

Prime factors of 1274 are 2, 7, 13. Prime factorization of 1274 in exponential form is:

1274 = 2¹ × 7² × 13¹

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 1274

List of positive integer factors of 1274 that divides 1274 without a remainder.

1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 637

Step-4: Factors of 1294

List of positive integer factors of 1294 that divides 1274 without a remainder.

1, 2, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1274 and 1294. The biggest common factor number is the GCF number.
So the greatest common factor 1274 and 1294 is 2.

Also check out the Least Common Multiple of 1274 and 1294