What is the Greatest Common Factor of 26664 and 26678?

Greatest common factor (GCF) of 26664 and 26678 is 2.

GCF(26664,26678) = 2

We will now calculate the prime factors of 26664 and 26678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26664 and 26678.

How to find the GCF of 26664 and 26678?

We will first find the prime factorization of 26664 and 26678. After we will calculate the factors of 26664 and 26678 and find the biggest common factor number .

Step-1: Prime Factorization of 26664

Prime factors of 26664 are 2, 3, 11, 101. Prime factorization of 26664 in exponential form is:

26664 = 2³ × 3¹ × 11¹ × 101¹

Step-2: Prime Factorization of 26678

Prime factors of 26678 are 2, 13339. Prime factorization of 26678 in exponential form is:

26678 = 2¹ × 13339¹

Step-3: Factors of 26664

List of positive integer factors of 26664 that divides 26664 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 101, 132, 202, 264, 303, 404, 606, 808, 1111, 1212, 2222, 2424, 3333, 4444, 6666, 8888, 13332

Step-4: Factors of 26678

List of positive integer factors of 26678 that divides 26664 without a remainder.

1, 2, 13339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26664 and 26678. The biggest common factor number is the GCF number.
So the greatest common factor 26664 and 26678 is 2.

Also check out the Least Common Multiple of 26664 and 26678