What is the Greatest Common Factor of 25489 and 25499?

Greatest common factor (GCF) of 25489 and 25499 is 1.

GCF(25489,25499) = 1

We will now calculate the prime factors of 25489 and 25499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25489 and 25499.

How to find the GCF of 25489 and 25499?

We will first find the prime factorization of 25489 and 25499. After we will calculate the factors of 25489 and 25499 and find the biggest common factor number .

Step-1: Prime Factorization of 25489

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

25489 = 71¹ × 359¹

Step-2: Prime Factorization of 25499

Prime factors of 25499 are 43, 593. Prime factorization of 25499 in exponential form is:

25499 = 43¹ × 593¹

Step-3: Factors of 25489

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

1, 71, 359

Step-4: Factors of 25499

List of positive integer factors of 25499 that divides 25489 without a remainder.

1, 43, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25489 and 25499. The biggest common factor number is the GCF number.
So the greatest common factor 25489 and 25499 is 1.

Also check out the Least Common Multiple of 25489 and 25499