What is the Greatest Common Factor of 26680 and 26699?

Greatest common factor (GCF) of 26680 and 26699 is 1.

GCF(26680,26699) = 1

We will now calculate the prime factors of 26680 and 26699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26680 and 26699.

How to find the GCF of 26680 and 26699?

We will first find the prime factorization of 26680 and 26699. After we will calculate the factors of 26680 and 26699 and find the biggest common factor number .

Step-1: Prime Factorization of 26680

Prime factors of 26680 are 2, 5, 23, 29. Prime factorization of 26680 in exponential form is:

26680 = 2³ × 5¹ × 23¹ × 29¹

Step-2: Prime Factorization of 26699

Prime factors of 26699 are 26699. Prime factorization of 26699 in exponential form is:

26699 = 26699¹

Step-3: Factors of 26680

List of positive integer factors of 26680 that divides 26680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 29, 40, 46, 58, 92, 115, 116, 145, 184, 230, 232, 290, 460, 580, 667, 920, 1160, 1334, 2668, 3335, 5336, 6670, 13340

Step-4: Factors of 26699

List of positive integer factors of 26699 that divides 26680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26680 and 26699. The biggest common factor number is the GCF number.
So the greatest common factor 26680 and 26699 is 1.

Also check out the Least Common Multiple of 26680 and 26699