What is the Greatest Common Factor of 26496 and 26508?

Greatest common factor (GCF) of 26496 and 26508 is 12.

GCF(26496,26508) = 12

We will now calculate the prime factors of 26496 and 26508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26496 and 26508.

How to find the GCF of 26496 and 26508?

We will first find the prime factorization of 26496 and 26508. After we will calculate the factors of 26496 and 26508 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 26508

Prime factors of 26508 are 2, 3, 47. Prime factorization of 26508 in exponential form is:

26508 = 2² × 3¹ × 47²

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 26508

List of positive integer factors of 26508 that divides 26496 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564, 2209, 4418, 6627, 8836, 13254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26496 and 26508. The biggest common factor number is the GCF number.
So the greatest common factor 26496 and 26508 is 12.

Also check out the Least Common Multiple of 26496 and 26508