What is the Greatest Common Factor of 26478 and 26496?

Greatest common factor (GCF) of 26478 and 26496 is 18.

GCF(26478,26496) = 18

We will now calculate the prime factors of 26478 and 26496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26478 and 26496.

How to find the GCF of 26478 and 26496?

We will first find the prime factorization of 26478 and 26496. After we will calculate the factors of 26478 and 26496 and find the biggest common factor number .

Step-1: Prime Factorization of 26478

Prime factors of 26478 are 2, 3, 1471. Prime factorization of 26478 in exponential form is:

26478 = 2¹ × 3² × 1471¹

Step-2: 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-3: Factors of 26478

List of positive integer factors of 26478 that divides 26478 without a remainder.

1, 2, 3, 6, 9, 18, 1471, 2942, 4413, 8826, 13239

Step-4: Factors of 26496

List of positive integer factors of 26496 that divides 26478 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26478 and 26496. The biggest common factor number is the GCF number.
So the greatest common factor 26478 and 26496 is 18.

Also check out the Least Common Multiple of 26478 and 26496