What is the Greatest Common Factor of 25251 and 25257?

Greatest common factor (GCF) of 25251 and 25257 is 3.

GCF(25251,25257) = 3

We will now calculate the prime factors of 25251 and 25257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25251 and 25257.

How to find the GCF of 25251 and 25257?

We will first find the prime factorization of 25251 and 25257. After we will calculate the factors of 25251 and 25257 and find the biggest common factor number .

Step-1: Prime Factorization of 25251

Prime factors of 25251 are 3, 19, 443. Prime factorization of 25251 in exponential form is:

25251 = 3¹ × 19¹ × 443¹

Step-2: Prime Factorization of 25257

Prime factors of 25257 are 3, 8419. Prime factorization of 25257 in exponential form is:

25257 = 3¹ × 8419¹

Step-3: Factors of 25251

List of positive integer factors of 25251 that divides 25251 without a remainder.

1, 3, 19, 57, 443, 1329, 8417

Step-4: Factors of 25257

List of positive integer factors of 25257 that divides 25251 without a remainder.

1, 3, 8419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25251 and 25257. The biggest common factor number is the GCF number.
So the greatest common factor 25251 and 25257 is 3.

Also check out the Least Common Multiple of 25251 and 25257