What is the Greatest Common Factor of 25475 and 25489?

Greatest common factor (GCF) of 25475 and 25489 is 1.

GCF(25475,25489) = 1

We will now calculate the prime factors of 25475 and 25489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25475 and 25489.

How to find the GCF of 25475 and 25489?

We will first find the prime factorization of 25475 and 25489. After we will calculate the factors of 25475 and 25489 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 25489

Prime factors of 25489 are 71, 359. Prime factorization of 25489 in exponential form is:

25489 = 71¹ × 359¹

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 25489

List of positive integer factors of 25489 that divides 25475 without a remainder.

1, 71, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25475 and 25489. The biggest common factor number is the GCF number.
So the greatest common factor 25475 and 25489 is 1.

Also check out the Least Common Multiple of 25475 and 25489