What is the Greatest Common Factor of 1250 and 1266?

Greatest common factor (GCF) of 1250 and 1266 is 2.

GCF(1250,1266) = 2

We will now calculate the prime factors of 1250 and 1266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1250 and 1266.

How to find the GCF of 1250 and 1266?

We will first find the prime factorization of 1250 and 1266. After we will calculate the factors of 1250 and 1266 and find the biggest common factor number .

Step-1: Prime Factorization of 1250

Prime factors of 1250 are 2, 5. Prime factorization of 1250 in exponential form is:

1250 = 2¹ × 5⁴

Step-2: 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-3: Factors of 1250

List of positive integer factors of 1250 that divides 1250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 625

Step-4: Factors of 1266

List of positive integer factors of 1266 that divides 1250 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1250 and 1266. The biggest common factor number is the GCF number.
So the greatest common factor 1250 and 1266 is 2.

Also check out the Least Common Multiple of 1250 and 1266