What is the Greatest Common Factor of 26464 and 26471?

Greatest common factor (GCF) of 26464 and 26471 is 1.

GCF(26464,26471) = 1

We will now calculate the prime factors of 26464 and 26471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26464 and 26471.

How to find the GCF of 26464 and 26471?

We will first find the prime factorization of 26464 and 26471. After we will calculate the factors of 26464 and 26471 and find the biggest common factor number .

Step-1: Prime Factorization of 26464

Prime factors of 26464 are 2, 827. Prime factorization of 26464 in exponential form is:

26464 = 2⁵ × 827¹

Step-2: Prime Factorization of 26471

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

26471 = 103¹ × 257¹

Step-3: Factors of 26464

List of positive integer factors of 26464 that divides 26464 without a remainder.

1, 2, 4, 8, 16, 32, 827, 1654, 3308, 6616, 13232

Step-4: Factors of 26471

List of positive integer factors of 26471 that divides 26464 without a remainder.

1, 103, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26464 and 26471. The biggest common factor number is the GCF number.
So the greatest common factor 26464 and 26471 is 1.

Also check out the Least Common Multiple of 26464 and 26471