What is the Greatest Common Factor of 1230 and 1250?

Greatest common factor (GCF) of 1230 and 1250 is 10.

GCF(1230,1250) = 10

We will now calculate the prime factors of 1230 and 1250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1230 and 1250.

How to find the GCF of 1230 and 1250?

We will first find the prime factorization of 1230 and 1250. After we will calculate the factors of 1230 and 1250 and find the biggest common factor number .

Step-1: Prime Factorization of 1230

Prime factors of 1230 are 2, 3, 5, 41. Prime factorization of 1230 in exponential form is:

1230 = 2¹ × 3¹ × 5¹ × 41¹

Step-2: Prime Factorization of 1250

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

1250 = 2¹ × 5⁴

Step-3: Factors of 1230

List of positive integer factors of 1230 that divides 1230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615

Step-4: Factors of 1250

List of positive integer factors of 1250 that divides 1230 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1230 and 1250. The biggest common factor number is the GCF number.
So the greatest common factor 1230 and 1250 is 10.

Also check out the Least Common Multiple of 1230 and 1250