What is the Greatest Common Factor of 26471 and 26488?

Greatest common factor (GCF) of 26471 and 26488 is 1.

GCF(26471,26488) = 1

We will now calculate the prime factors of 26471 and 26488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26471 and 26488.

How to find the GCF of 26471 and 26488?

We will first find the prime factorization of 26471 and 26488. After we will calculate the factors of 26471 and 26488 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 26488

Prime factors of 26488 are 2, 7, 11, 43. Prime factorization of 26488 in exponential form is:

26488 = 2³ × 7¹ × 11¹ × 43¹

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 26488

List of positive integer factors of 26488 that divides 26471 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 43, 44, 56, 77, 86, 88, 154, 172, 301, 308, 344, 473, 602, 616, 946, 1204, 1892, 2408, 3311, 3784, 6622, 13244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26471 and 26488. The biggest common factor number is the GCF number.
So the greatest common factor 26471 and 26488 is 1.

Also check out the Least Common Multiple of 26471 and 26488