What is the Greatest Common Factor of 26604 and 26616?

Greatest common factor (GCF) of 26604 and 26616 is 12.

GCF(26604,26616) = 12

We will now calculate the prime factors of 26604 and 26616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26604 and 26616.

How to find the GCF of 26604 and 26616?

We will first find the prime factorization of 26604 and 26616. After we will calculate the factors of 26604 and 26616 and find the biggest common factor number .

Step-1: Prime Factorization of 26604

Prime factors of 26604 are 2, 3, 739. Prime factorization of 26604 in exponential form is:

26604 = 2² × 3² × 739¹

Step-2: Prime Factorization of 26616

Prime factors of 26616 are 2, 3, 1109. Prime factorization of 26616 in exponential form is:

26616 = 2³ × 3¹ × 1109¹

Step-3: Factors of 26604

List of positive integer factors of 26604 that divides 26604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 739, 1478, 2217, 2956, 4434, 6651, 8868, 13302

Step-4: Factors of 26616

List of positive integer factors of 26616 that divides 26604 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1109, 2218, 3327, 4436, 6654, 8872, 13308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26604 and 26616. The biggest common factor number is the GCF number.
So the greatest common factor 26604 and 26616 is 12.

Also check out the Least Common Multiple of 26604 and 26616