What is the Greatest Common Factor of 25198 and 25208?

Greatest common factor (GCF) of 25198 and 25208 is 2.

GCF(25198,25208) = 2

We will now calculate the prime factors of 25198 and 25208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25198 and 25208.

How to find the GCF of 25198 and 25208?

We will first find the prime factorization of 25198 and 25208. After we will calculate the factors of 25198 and 25208 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25208

Prime factors of 25208 are 2, 23, 137. Prime factorization of 25208 in exponential form is:

25208 = 2³ × 23¹ × 137¹

Step-3: Factors of 25198

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

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

Step-4: Factors of 25208

List of positive integer factors of 25208 that divides 25198 without a remainder.

1, 2, 4, 8, 23, 46, 92, 137, 184, 274, 548, 1096, 3151, 6302, 12604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25198 and 25208. The biggest common factor number is the GCF number.
So the greatest common factor 25198 and 25208 is 2.

Also check out the Least Common Multiple of 25198 and 25208