What is the Greatest Common Factor of 26666 and 26676?

Greatest common factor (GCF) of 26666 and 26676 is 2.

GCF(26666,26676) = 2

We will now calculate the prime factors of 26666 and 26676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26666 and 26676.

How to find the GCF of 26666 and 26676?

We will first find the prime factorization of 26666 and 26676. After we will calculate the factors of 26666 and 26676 and find the biggest common factor number .

Step-1: Prime Factorization of 26666

Prime factors of 26666 are 2, 67, 199. Prime factorization of 26666 in exponential form is:

26666 = 2¹ × 67¹ × 199¹

Step-2: Prime Factorization of 26676

Prime factors of 26676 are 2, 3, 13, 19. Prime factorization of 26676 in exponential form is:

26676 = 2² × 3³ × 13¹ × 19¹

Step-3: Factors of 26666

List of positive integer factors of 26666 that divides 26666 without a remainder.

1, 2, 67, 134, 199, 398, 13333

Step-4: Factors of 26676

List of positive integer factors of 26676 that divides 26666 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 27, 36, 38, 39, 52, 54, 57, 76, 78, 108, 114, 117, 156, 171, 228, 234, 247, 342, 351, 468, 494, 513, 684, 702, 741, 988, 1026, 1404, 1482, 2052, 2223, 2964, 4446, 6669, 8892, 13338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26666 and 26676. The biggest common factor number is the GCF number.
So the greatest common factor 26666 and 26676 is 2.

Also check out the Least Common Multiple of 26666 and 26676