What is the Greatest Common Factor of 26109 and 26128?

Greatest common factor (GCF) of 26109 and 26128 is 1.

GCF(26109,26128) = 1

We will now calculate the prime factors of 26109 and 26128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26109 and 26128.

How to find the GCF of 26109 and 26128?

We will first find the prime factorization of 26109 and 26128. After we will calculate the factors of 26109 and 26128 and find the biggest common factor number .

Step-1: Prime Factorization of 26109

Prime factors of 26109 are 3, 967. Prime factorization of 26109 in exponential form is:

26109 = 3³ × 967¹

Step-2: Prime Factorization of 26128

Prime factors of 26128 are 2, 23, 71. Prime factorization of 26128 in exponential form is:

26128 = 2⁴ × 23¹ × 71¹

Step-3: Factors of 26109

List of positive integer factors of 26109 that divides 26109 without a remainder.

1, 3, 9, 27, 967, 2901, 8703

Step-4: Factors of 26128

List of positive integer factors of 26128 that divides 26109 without a remainder.

1, 2, 4, 8, 16, 23, 46, 71, 92, 142, 184, 284, 368, 568, 1136, 1633, 3266, 6532, 13064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26109 and 26128. The biggest common factor number is the GCF number.
So the greatest common factor 26109 and 26128 is 1.

Also check out the Least Common Multiple of 26109 and 26128