What is the Greatest Common Factor of 26685 and 26704?

Greatest common factor (GCF) of 26685 and 26704 is 1.

GCF(26685,26704) = 1

We will now calculate the prime factors of 26685 and 26704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26685 and 26704.

How to find the GCF of 26685 and 26704?

We will first find the prime factorization of 26685 and 26704. After we will calculate the factors of 26685 and 26704 and find the biggest common factor number .

Step-1: Prime Factorization of 26685

Prime factors of 26685 are 3, 5, 593. Prime factorization of 26685 in exponential form is:

26685 = 3² × 5¹ × 593¹

Step-2: Prime Factorization of 26704

Prime factors of 26704 are 2, 1669. Prime factorization of 26704 in exponential form is:

26704 = 2⁴ × 1669¹

Step-3: Factors of 26685

List of positive integer factors of 26685 that divides 26685 without a remainder.

1, 3, 5, 9, 15, 45, 593, 1779, 2965, 5337, 8895

Step-4: Factors of 26704

List of positive integer factors of 26704 that divides 26685 without a remainder.

1, 2, 4, 8, 16, 1669, 3338, 6676, 13352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26685 and 26704. The biggest common factor number is the GCF number.
So the greatest common factor 26685 and 26704 is 1.

Also check out the Least Common Multiple of 26685 and 26704