What is the Greatest Common Factor of 12234 and 12250?

Greatest common factor (GCF) of 12234 and 12250 is 2.

GCF(12234,12250) = 2

We will now calculate the prime factors of 12234 and 12250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12234 and 12250.

How to find the GCF of 12234 and 12250?

We will first find the prime factorization of 12234 and 12250. After we will calculate the factors of 12234 and 12250 and find the biggest common factor number .

Step-1: Prime Factorization of 12234

Prime factors of 12234 are 2, 3, 2039. Prime factorization of 12234 in exponential form is:

12234 = 2¹ × 3¹ × 2039¹

Step-2: Prime Factorization of 12250

Prime factors of 12250 are 2, 5, 7. Prime factorization of 12250 in exponential form is:

12250 = 2¹ × 5³ × 7²

Step-3: Factors of 12234

List of positive integer factors of 12234 that divides 12234 without a remainder.

1, 2, 3, 6, 2039, 4078, 6117

Step-4: Factors of 12250

List of positive integer factors of 12250 that divides 12234 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 125, 175, 245, 250, 350, 490, 875, 1225, 1750, 2450, 6125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12234 and 12250. The biggest common factor number is the GCF number.
So the greatest common factor 12234 and 12250 is 2.

Also check out the Least Common Multiple of 12234 and 12250