What is the Greatest Common Factor of 26496 and 26501?

Greatest common factor (GCF) of 26496 and 26501 is 1.

GCF(26496,26501) = 1

We will now calculate the prime factors of 26496 and 26501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26496 and 26501.

How to find the GCF of 26496 and 26501?

We will first find the prime factorization of 26496 and 26501. After we will calculate the factors of 26496 and 26501 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 26501

Prime factors of 26501 are 26501. Prime factorization of 26501 in exponential form is:

26501 = 26501¹

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 26501

List of positive integer factors of 26501 that divides 26496 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26496 and 26501. The biggest common factor number is the GCF number.
So the greatest common factor 26496 and 26501 is 1.

Also check out the Least Common Multiple of 26496 and 26501