What is the Greatest Common Factor of 26471 and 26487?

Greatest common factor (GCF) of 26471 and 26487 is 1.

GCF(26471,26487) = 1

We will now calculate the prime factors of 26471 and 26487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26471 and 26487.

How to find the GCF of 26471 and 26487?

We will first find the prime factorization of 26471 and 26487. After we will calculate the factors of 26471 and 26487 and find the biggest common factor number .

Step-1: Prime Factorization of 26471

Prime factors of 26471 are 103, 257. Prime factorization of 26471 in exponential form is:

26471 = 103¹ × 257¹

Step-2: Prime Factorization of 26487

Prime factors of 26487 are 3, 109. Prime factorization of 26487 in exponential form is:

26487 = 3⁵ × 109¹

Step-3: Factors of 26471

List of positive integer factors of 26471 that divides 26471 without a remainder.

1, 103, 257

Step-4: Factors of 26487

List of positive integer factors of 26487 that divides 26471 without a remainder.

1, 3, 9, 27, 81, 109, 243, 327, 981, 2943, 8829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26471 and 26487. The biggest common factor number is the GCF number.
So the greatest common factor 26471 and 26487 is 1.

Also check out the Least Common Multiple of 26471 and 26487