What is the Greatest Common Factor of 26664 and 26675?

Greatest common factor (GCF) of 26664 and 26675 is 11.

GCF(26664,26675) = 11

We will now calculate the prime factors of 26664 and 26675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26664 and 26675.

How to find the GCF of 26664 and 26675?

We will first find the prime factorization of 26664 and 26675. After we will calculate the factors of 26664 and 26675 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 26675

Prime factors of 26675 are 5, 11, 97. Prime factorization of 26675 in exponential form is:

26675 = 5² × 11¹ × 97¹

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 26675

List of positive integer factors of 26675 that divides 26664 without a remainder.

1, 5, 11, 25, 55, 97, 275, 485, 1067, 2425, 5335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26664 and 26675. The biggest common factor number is the GCF number.
So the greatest common factor 26664 and 26675 is 11.

Also check out the Least Common Multiple of 26664 and 26675