What is the Greatest Common Factor of 26080 and 26090?

Greatest common factor (GCF) of 26080 and 26090 is 10.

GCF(26080,26090) = 10

We will now calculate the prime factors of 26080 and 26090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26080 and 26090.

How to find the GCF of 26080 and 26090?

We will first find the prime factorization of 26080 and 26090. After we will calculate the factors of 26080 and 26090 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 26090

Prime factors of 26090 are 2, 5, 2609. Prime factorization of 26090 in exponential form is:

26090 = 2¹ × 5¹ × 2609¹

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 26090

List of positive integer factors of 26090 that divides 26080 without a remainder.

1, 2, 5, 10, 2609, 5218, 13045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26080 and 26090. The biggest common factor number is the GCF number.
So the greatest common factor 26080 and 26090 is 10.

Also check out the Least Common Multiple of 26080 and 26090