What is the Greatest Common Factor of 26772 and 26784?

Greatest common factor (GCF) of 26772 and 26784 is 12.

GCF(26772,26784) = 12

We will now calculate the prime factors of 26772 and 26784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26772 and 26784.

How to find the GCF of 26772 and 26784?

We will first find the prime factorization of 26772 and 26784. After we will calculate the factors of 26772 and 26784 and find the biggest common factor number .

Step-1: Prime Factorization of 26772

Prime factors of 26772 are 2, 3, 23, 97. Prime factorization of 26772 in exponential form is:

26772 = 2² × 3¹ × 23¹ × 97¹

Step-2: 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-3: Factors of 26772

List of positive integer factors of 26772 that divides 26772 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 97, 138, 194, 276, 291, 388, 582, 1164, 2231, 4462, 6693, 8924, 13386

Step-4: Factors of 26784

List of positive integer factors of 26784 that divides 26772 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26772 and 26784. The biggest common factor number is the GCF number.
So the greatest common factor 26772 and 26784 is 12.

Also check out the Least Common Multiple of 26772 and 26784