What is the Greatest Common Factor of 1250 and 1256?

Greatest common factor (GCF) of 1250 and 1256 is 2.

GCF(1250,1256) = 2

We will now calculate the prime factors of 1250 and 1256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1250 and 1256.

How to find the GCF of 1250 and 1256?

We will first find the prime factorization of 1250 and 1256. After we will calculate the factors of 1250 and 1256 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 1256

Prime factors of 1256 are 2, 157. Prime factorization of 1256 in exponential form is:

1256 = 2³ × 157¹

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 1256

List of positive integer factors of 1256 that divides 1250 without a remainder.

1, 2, 4, 8, 157, 314, 628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1250 and 1256. The biggest common factor number is the GCF number.
So the greatest common factor 1250 and 1256 is 2.

Also check out the Least Common Multiple of 1250 and 1256