What is the Greatest Common Factor of 26784 and 26792?

Greatest common factor (GCF) of 26784 and 26792 is 8.

GCF(26784,26792) = 8

We will now calculate the prime factors of 26784 and 26792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26784 and 26792.

How to find the GCF of 26784 and 26792?

We will first find the prime factorization of 26784 and 26792. After we will calculate the factors of 26784 and 26792 and find the biggest common factor number .

Step-1: Prime Factorization of 26784

Prime factors of 26784 are 2, 3, 31. Prime factorization of 26784 in exponential form is:

26784 = 2⁵ × 3³ × 31¹

Step-2: Prime Factorization of 26792

Prime factors of 26792 are 2, 17, 197. Prime factorization of 26792 in exponential form is:

26792 = 2³ × 17¹ × 197¹

Step-3: Factors of 26784

List of positive integer factors of 26784 that divides 26784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 32, 36, 48, 54, 62, 72, 93, 96, 108, 124, 144, 186, 216, 248, 279, 288, 372, 432, 496, 558, 744, 837, 864, 992, 1116, 1488, 1674, 2232, 2976, 3348, 4464, 6696, 8928, 13392

Step-4: Factors of 26792

List of positive integer factors of 26792 that divides 26784 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 197, 394, 788, 1576, 3349, 6698, 13396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26784 and 26792. The biggest common factor number is the GCF number.
So the greatest common factor 26784 and 26792 is 8.

Also check out the Least Common Multiple of 26784 and 26792