What is the Greatest Common Factor of 1260 and 1268?

Greatest common factor (GCF) of 1260 and 1268 is 4.

GCF(1260,1268) = 4

We will now calculate the prime factors of 1260 and 1268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1260 and 1268.

How to find the GCF of 1260 and 1268?

We will first find the prime factorization of 1260 and 1268. After we will calculate the factors of 1260 and 1268 and find the biggest common factor number .

Step-1: Prime Factorization of 1260

Prime factors of 1260 are 2, 3, 5, 7. Prime factorization of 1260 in exponential form is:

1260 = 2² × 3² × 5¹ × 7¹

Step-2: Prime Factorization of 1268

Prime factors of 1268 are 2, 317. Prime factorization of 1268 in exponential form is:

1268 = 2² × 317¹

Step-3: Factors of 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630

Step-4: Factors of 1268

List of positive integer factors of 1268 that divides 1260 without a remainder.

1, 2, 4, 317, 634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1260 and 1268. The biggest common factor number is the GCF number.
So the greatest common factor 1260 and 1268 is 4.

Also check out the Least Common Multiple of 1260 and 1268