What is the Greatest Common Factor of 25489 and 25501?

Greatest common factor (GCF) of 25489 and 25501 is 1.

GCF(25489,25501) = 1

We will now calculate the prime factors of 25489 and 25501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25489 and 25501.

How to find the GCF of 25489 and 25501?

We will first find the prime factorization of 25489 and 25501. After we will calculate the factors of 25489 and 25501 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 25501

Prime factors of 25501 are 7, 3643. Prime factorization of 25501 in exponential form is:

25501 = 7¹ × 3643¹

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 25501

List of positive integer factors of 25501 that divides 25489 without a remainder.

1, 7, 3643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25489 and 25501. The biggest common factor number is the GCF number.
So the greatest common factor 25489 and 25501 is 1.

Also check out the Least Common Multiple of 25489 and 25501