What is the Greatest Common Factor of 26496 and 26511?

Greatest common factor (GCF) of 26496 and 26511 is 3.

GCF(26496,26511) = 3

We will now calculate the prime factors of 26496 and 26511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26496 and 26511.

How to find the GCF of 26496 and 26511?

We will first find the prime factorization of 26496 and 26511. After we will calculate the factors of 26496 and 26511 and find the biggest common factor number .

Step-1: Prime Factorization of 26496

Prime factors of 26496 are 2, 3, 23. Prime factorization of 26496 in exponential form is:

26496 = 2⁷ × 3² × 23¹

Step-2: Prime Factorization of 26511

Prime factors of 26511 are 3, 8837. Prime factorization of 26511 in exponential form is:

26511 = 3¹ × 8837¹

Step-3: Factors of 26496

List of positive integer factors of 26496 that divides 26496 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 64, 69, 72, 92, 96, 128, 138, 144, 184, 192, 207, 276, 288, 368, 384, 414, 552, 576, 736, 828, 1104, 1152, 1472, 1656, 2208, 2944, 3312, 4416, 6624, 8832, 13248

Step-4: Factors of 26511

List of positive integer factors of 26511 that divides 26496 without a remainder.

1, 3, 8837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26496 and 26511. The biggest common factor number is the GCF number.
So the greatest common factor 26496 and 26511 is 3.

Also check out the Least Common Multiple of 26496 and 26511