What is the Greatest Common Factor of 26080 and 26085?

Greatest common factor (GCF) of 26080 and 26085 is 5.

GCF(26080,26085) = 5

We will now calculate the prime factors of 26080 and 26085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26080 and 26085.

How to find the GCF of 26080 and 26085?

We will first find the prime factorization of 26080 and 26085. After we will calculate the factors of 26080 and 26085 and find the biggest common factor number .

Step-1: Prime Factorization of 26080

Prime factors of 26080 are 2, 5, 163. Prime factorization of 26080 in exponential form is:

26080 = 2⁵ × 5¹ × 163¹

Step-2: Prime Factorization of 26085

Prime factors of 26085 are 3, 5, 37, 47. Prime factorization of 26085 in exponential form is:

26085 = 3¹ × 5¹ × 37¹ × 47¹

Step-3: Factors of 26080

List of positive integer factors of 26080 that divides 26080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 163, 326, 652, 815, 1304, 1630, 2608, 3260, 5216, 6520, 13040

Step-4: Factors of 26085

List of positive integer factors of 26085 that divides 26080 without a remainder.

1, 3, 5, 15, 37, 47, 111, 141, 185, 235, 555, 705, 1739, 5217, 8695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26080 and 26085. The biggest common factor number is the GCF number.
So the greatest common factor 26080 and 26085 is 5.

Also check out the Least Common Multiple of 26080 and 26085