What is the Greatest Common Factor of 26665 and 26680?

Greatest common factor (GCF) of 26665 and 26680 is 5.

GCF(26665,26680) = 5

We will now calculate the prime factors of 26665 and 26680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26665 and 26680.

How to find the GCF of 26665 and 26680?

We will first find the prime factorization of 26665 and 26680. After we will calculate the factors of 26665 and 26680 and find the biggest common factor number .

Step-1: Prime Factorization of 26665

Prime factors of 26665 are 5, 5333. Prime factorization of 26665 in exponential form is:

26665 = 5¹ × 5333¹

Step-2: 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-3: Factors of 26665

List of positive integer factors of 26665 that divides 26665 without a remainder.

1, 5, 5333

Step-4: Factors of 26680

List of positive integer factors of 26680 that divides 26665 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26665 and 26680. The biggest common factor number is the GCF number.
So the greatest common factor 26665 and 26680 is 5.

Also check out the Least Common Multiple of 26665 and 26680