What is the Greatest Common Factor of 26664 and 26682?

Greatest common factor (GCF) of 26664 and 26682 is 6.

GCF(26664,26682) = 6

We will now calculate the prime factors of 26664 and 26682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26664 and 26682.

How to find the GCF of 26664 and 26682?

We will first find the prime factorization of 26664 and 26682. After we will calculate the factors of 26664 and 26682 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 26682

Prime factors of 26682 are 2, 3, 4447. Prime factorization of 26682 in exponential form is:

26682 = 2¹ × 3¹ × 4447¹

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 26682

List of positive integer factors of 26682 that divides 26664 without a remainder.

1, 2, 3, 6, 4447, 8894, 13341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26664 and 26682. The biggest common factor number is the GCF number.
So the greatest common factor 26664 and 26682 is 6.

Also check out the Least Common Multiple of 26664 and 26682