What is the Greatest Common Factor of 1250 and 1255?

Greatest common factor (GCF) of 1250 and 1255 is 5.

GCF(1250,1255) = 5

We will now calculate the prime factors of 1250 and 1255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1250 and 1255.

How to find the GCF of 1250 and 1255?

We will first find the prime factorization of 1250 and 1255. After we will calculate the factors of 1250 and 1255 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 1255

Prime factors of 1255 are 5, 251. Prime factorization of 1255 in exponential form is:

1255 = 5¹ × 251¹

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 1255

List of positive integer factors of 1255 that divides 1250 without a remainder.

1, 5, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1250 and 1255. The biggest common factor number is the GCF number.
So the greatest common factor 1250 and 1255 is 5.

Also check out the Least Common Multiple of 1250 and 1255