What is the Greatest Common Factor of 25475 and 25493?

Greatest common factor (GCF) of 25475 and 25493 is 1.

GCF(25475,25493) = 1

We will now calculate the prime factors of 25475 and 25493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25475 and 25493.

How to find the GCF of 25475 and 25493?

We will first find the prime factorization of 25475 and 25493. After we will calculate the factors of 25475 and 25493 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 25493

Prime factors of 25493 are 13, 37, 53. Prime factorization of 25493 in exponential form is:

25493 = 13¹ × 37¹ × 53¹

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 25493

List of positive integer factors of 25493 that divides 25475 without a remainder.

1, 13, 37, 53, 481, 689, 1961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25475 and 25493. The biggest common factor number is the GCF number.
So the greatest common factor 25475 and 25493 is 1.

Also check out the Least Common Multiple of 25475 and 25493