What is the Greatest Common Factor of 25188 and 25198?

Greatest common factor (GCF) of 25188 and 25198 is 2.

GCF(25188,25198) = 2

We will now calculate the prime factors of 25188 and 25198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25188 and 25198.

How to find the GCF of 25188 and 25198?

We will first find the prime factorization of 25188 and 25198. After we will calculate the factors of 25188 and 25198 and find the biggest common factor number .

Step-1: Prime Factorization of 25188

Prime factors of 25188 are 2, 3, 2099. Prime factorization of 25188 in exponential form is:

25188 = 2² × 3¹ × 2099¹

Step-2: Prime Factorization of 25198

Prime factors of 25198 are 2, 43, 293. Prime factorization of 25198 in exponential form is:

25198 = 2¹ × 43¹ × 293¹

Step-3: Factors of 25188

List of positive integer factors of 25188 that divides 25188 without a remainder.

1, 2, 3, 4, 6, 12, 2099, 4198, 6297, 8396, 12594

Step-4: Factors of 25198

List of positive integer factors of 25198 that divides 25188 without a remainder.

1, 2, 43, 86, 293, 586, 12599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25188 and 25198. The biggest common factor number is the GCF number.
So the greatest common factor 25188 and 25198 is 2.

Also check out the Least Common Multiple of 25188 and 25198