What is the Greatest Common Factor of 26685 and 26691?

Greatest common factor (GCF) of 26685 and 26691 is 3.

GCF(26685,26691) = 3

We will now calculate the prime factors of 26685 and 26691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26685 and 26691.

How to find the GCF of 26685 and 26691?

We will first find the prime factorization of 26685 and 26691. After we will calculate the factors of 26685 and 26691 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 26691

Prime factors of 26691 are 3, 7, 31, 41. Prime factorization of 26691 in exponential form is:

26691 = 3¹ × 7¹ × 31¹ × 41¹

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 26691

List of positive integer factors of 26691 that divides 26685 without a remainder.

1, 3, 7, 21, 31, 41, 93, 123, 217, 287, 651, 861, 1271, 3813, 8897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26685 and 26691. The biggest common factor number is the GCF number.
So the greatest common factor 26685 and 26691 is 3.

Also check out the Least Common Multiple of 26685 and 26691