What is the Greatest Common Factor of 25194 and 25203?

Greatest common factor (GCF) of 25194 and 25203 is 3.

GCF(25194,25203) = 3

We will now calculate the prime factors of 25194 and 25203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25194 and 25203.

How to find the GCF of 25194 and 25203?

We will first find the prime factorization of 25194 and 25203. After we will calculate the factors of 25194 and 25203 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 25203

Prime factors of 25203 are 3, 31, 271. Prime factorization of 25203 in exponential form is:

25203 = 3¹ × 31¹ × 271¹

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 25203

List of positive integer factors of 25203 that divides 25194 without a remainder.

1, 3, 31, 93, 271, 813, 8401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25194 and 25203. The biggest common factor number is the GCF number.
So the greatest common factor 25194 and 25203 is 3.

Also check out the Least Common Multiple of 25194 and 25203