What is the Greatest Common Factor of 1266 and 1270?

Greatest common factor (GCF) of 1266 and 1270 is 2.

GCF(1266,1270) = 2

We will now calculate the prime factors of 1266 and 1270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1266 and 1270.

How to find the GCF of 1266 and 1270?

We will first find the prime factorization of 1266 and 1270. After we will calculate the factors of 1266 and 1270 and find the biggest common factor number .

Step-1: Prime Factorization of 1266

Prime factors of 1266 are 2, 3, 211. Prime factorization of 1266 in exponential form is:

1266 = 2¹ × 3¹ × 211¹

Step-2: Prime Factorization of 1270

Prime factors of 1270 are 2, 5, 127. Prime factorization of 1270 in exponential form is:

1270 = 2¹ × 5¹ × 127¹

Step-3: Factors of 1266

List of positive integer factors of 1266 that divides 1266 without a remainder.

1, 2, 3, 6, 211, 422, 633

Step-4: Factors of 1270

List of positive integer factors of 1270 that divides 1266 without a remainder.

1, 2, 5, 10, 127, 254, 635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1266 and 1270. The biggest common factor number is the GCF number.
So the greatest common factor 1266 and 1270 is 2.

Also check out the Least Common Multiple of 1266 and 1270