What is the Greatest Common Factor of 26069 and 26080?

Greatest common factor (GCF) of 26069 and 26080 is 1.

GCF(26069,26080) = 1

We will now calculate the prime factors of 26069 and 26080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26069 and 26080.

How to find the GCF of 26069 and 26080?

We will first find the prime factorization of 26069 and 26080. After we will calculate the factors of 26069 and 26080 and find the biggest common factor number .

Step-1: Prime Factorization of 26069

Prime factors of 26069 are 131, 199. Prime factorization of 26069 in exponential form is:

26069 = 131¹ × 199¹

Step-2: 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-3: Factors of 26069

List of positive integer factors of 26069 that divides 26069 without a remainder.

1, 131, 199

Step-4: Factors of 26080

List of positive integer factors of 26080 that divides 26069 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26069 and 26080. The biggest common factor number is the GCF number.
So the greatest common factor 26069 and 26080 is 1.

Also check out the Least Common Multiple of 26069 and 26080