What is the Greatest Common Factor of 25175 and 25194?

Greatest common factor (GCF) of 25175 and 25194 is 19.

GCF(25175,25194) = 19

We will now calculate the prime factors of 25175 and 25194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25175 and 25194.

How to find the GCF of 25175 and 25194?

We will first find the prime factorization of 25175 and 25194. After we will calculate the factors of 25175 and 25194 and find the biggest common factor number .

Step-1: Prime Factorization of 25175

Prime factors of 25175 are 5, 19, 53. Prime factorization of 25175 in exponential form is:

25175 = 5² × 19¹ × 53¹

Step-2: 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-3: Factors of 25175

List of positive integer factors of 25175 that divides 25175 without a remainder.

1, 5, 19, 25, 53, 95, 265, 475, 1007, 1325, 5035

Step-4: Factors of 25194

List of positive integer factors of 25194 that divides 25175 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25175 and 25194. The biggest common factor number is the GCF number.
So the greatest common factor 25175 and 25194 is 19.

Also check out the Least Common Multiple of 25175 and 25194