What is the Greatest Common Factor of 25194 and 25208?

Greatest common factor (GCF) of 25194 and 25208 is 2.

GCF(25194,25208) = 2

We will now calculate the prime factors of 25194 and 25208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25194 and 25208.

How to find the GCF of 25194 and 25208?

We will first find the prime factorization of 25194 and 25208. After we will calculate the factors of 25194 and 25208 and find the biggest common factor number .

Step-1: Prime Factorization of 25194

Prime factors of 25194 are 2, 3, 13, 17, 19. Prime factorization of 25194 in exponential form is:

25194 = 2¹ × 3¹ × 13¹ × 17¹ × 19¹

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 25194

List of positive integer factors of 25194 that divides 25194 without a remainder.

1, 2, 3, 6, 13, 17, 19, 26, 34, 38, 39, 51, 57, 78, 102, 114, 221, 247, 323, 442, 494, 646, 663, 741, 969, 1326, 1482, 1938, 4199, 8398, 12597

Step-4: Factors of 25208

List of positive integer factors of 25208 that divides 25194 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 25194 and 25208. The biggest common factor number is the GCF number.
So the greatest common factor 25194 and 25208 is 2.

Also check out the Least Common Multiple of 25194 and 25208