What is the Greatest Common Factor of 25475 and 25491?

Greatest common factor (GCF) of 25475 and 25491 is 1.

GCF(25475,25491) = 1

We will now calculate the prime factors of 25475 and 25491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25475 and 25491.

How to find the GCF of 25475 and 25491?

We will first find the prime factorization of 25475 and 25491. After we will calculate the factors of 25475 and 25491 and find the biggest common factor number .

Step-1: Prime Factorization of 25475

Prime factors of 25475 are 5, 1019. Prime factorization of 25475 in exponential form is:

25475 = 5² × 1019¹

Step-2: Prime Factorization of 25491

Prime factors of 25491 are 3, 29, 293. Prime factorization of 25491 in exponential form is:

25491 = 3¹ × 29¹ × 293¹

Step-3: Factors of 25475

List of positive integer factors of 25475 that divides 25475 without a remainder.

1, 5, 25, 1019, 5095

Step-4: Factors of 25491

List of positive integer factors of 25491 that divides 25475 without a remainder.

1, 3, 29, 87, 293, 879, 8497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25475 and 25491. The biggest common factor number is the GCF number.
So the greatest common factor 25475 and 25491 is 1.

Also check out the Least Common Multiple of 25475 and 25491