What is the Greatest Common Factor of 26009 and 26016?

Greatest common factor (GCF) of 26009 and 26016 is 1.

GCF(26009,26016) = 1

We will now calculate the prime factors of 26009 and 26016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26009 and 26016.

How to find the GCF of 26009 and 26016?

We will first find the prime factorization of 26009 and 26016. After we will calculate the factors of 26009 and 26016 and find the biggest common factor number .

Step-1: Prime Factorization of 26009

Prime factors of 26009 are 31, 839. Prime factorization of 26009 in exponential form is:

26009 = 31¹ × 839¹

Step-2: Prime Factorization of 26016

Prime factors of 26016 are 2, 3, 271. Prime factorization of 26016 in exponential form is:

26016 = 2⁵ × 3¹ × 271¹

Step-3: Factors of 26009

List of positive integer factors of 26009 that divides 26009 without a remainder.

1, 31, 839

Step-4: Factors of 26016

List of positive integer factors of 26016 that divides 26009 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 271, 542, 813, 1084, 1626, 2168, 3252, 4336, 6504, 8672, 13008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26009 and 26016. The biggest common factor number is the GCF number.
So the greatest common factor 26009 and 26016 is 1.

Also check out the Least Common Multiple of 26009 and 26016