What is the Greatest Common Factor of 26796 and 26805?

Greatest common factor (GCF) of 26796 and 26805 is 3.

GCF(26796,26805) = 3

We will now calculate the prime factors of 26796 and 26805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26796 and 26805.

How to find the GCF of 26796 and 26805?

We will first find the prime factorization of 26796 and 26805. After we will calculate the factors of 26796 and 26805 and find the biggest common factor number .

Step-1: Prime Factorization of 26796

Prime factors of 26796 are 2, 3, 7, 11, 29. Prime factorization of 26796 in exponential form is:

26796 = 2² × 3¹ × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 26805

Prime factors of 26805 are 3, 5, 1787. Prime factorization of 26805 in exponential form is:

26805 = 3¹ × 5¹ × 1787¹

Step-3: Factors of 26796

List of positive integer factors of 26796 that divides 26796 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 29, 33, 42, 44, 58, 66, 77, 84, 87, 116, 132, 154, 174, 203, 231, 308, 319, 348, 406, 462, 609, 638, 812, 924, 957, 1218, 1276, 1914, 2233, 2436, 3828, 4466, 6699, 8932, 13398

Step-4: Factors of 26805

List of positive integer factors of 26805 that divides 26796 without a remainder.

1, 3, 5, 15, 1787, 5361, 8935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26796 and 26805. The biggest common factor number is the GCF number.
So the greatest common factor 26796 and 26805 is 3.

Also check out the Least Common Multiple of 26796 and 26805