What is the Greatest Common Factor of 26080 and 26095?

Greatest common factor (GCF) of 26080 and 26095 is 5.

GCF(26080,26095) = 5

We will now calculate the prime factors of 26080 and 26095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26080 and 26095.

How to find the GCF of 26080 and 26095?

We will first find the prime factorization of 26080 and 26095. After we will calculate the factors of 26080 and 26095 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 26095

Prime factors of 26095 are 5, 17, 307. Prime factorization of 26095 in exponential form is:

26095 = 5¹ × 17¹ × 307¹

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 26095

List of positive integer factors of 26095 that divides 26080 without a remainder.

1, 5, 17, 85, 307, 1535, 5219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26080 and 26095. The biggest common factor number is the GCF number.
So the greatest common factor 26080 and 26095 is 5.

Also check out the Least Common Multiple of 26080 and 26095