What is the Greatest Common Factor of 26664 and 26671?

Greatest common factor (GCF) of 26664 and 26671 is 1.

GCF(26664,26671) = 1

We will now calculate the prime factors of 26664 and 26671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26664 and 26671.

How to find the GCF of 26664 and 26671?

We will first find the prime factorization of 26664 and 26671. After we will calculate the factors of 26664 and 26671 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 26671

Prime factors of 26671 are 149, 179. Prime factorization of 26671 in exponential form is:

26671 = 149¹ × 179¹

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 26671

List of positive integer factors of 26671 that divides 26664 without a remainder.

1, 149, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26664 and 26671. The biggest common factor number is the GCF number.
So the greatest common factor 26664 and 26671 is 1.

Also check out the Least Common Multiple of 26664 and 26671