What is the Greatest Common Factor of 26848 and 26865?

Greatest common factor (GCF) of 26848 and 26865 is 1.

GCF(26848,26865) = 1

We will now calculate the prime factors of 26848 and 26865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26848 and 26865.

How to find the GCF of 26848 and 26865?

We will first find the prime factorization of 26848 and 26865. After we will calculate the factors of 26848 and 26865 and find the biggest common factor number .

Step-1: Prime Factorization of 26848

Prime factors of 26848 are 2, 839. Prime factorization of 26848 in exponential form is:

26848 = 2⁵ × 839¹

Step-2: Prime Factorization of 26865

Prime factors of 26865 are 3, 5, 199. Prime factorization of 26865 in exponential form is:

26865 = 3³ × 5¹ × 199¹

Step-3: Factors of 26848

List of positive integer factors of 26848 that divides 26848 without a remainder.

1, 2, 4, 8, 16, 32, 839, 1678, 3356, 6712, 13424

Step-4: Factors of 26865

List of positive integer factors of 26865 that divides 26848 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 199, 597, 995, 1791, 2985, 5373, 8955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26848 and 26865. The biggest common factor number is the GCF number.
So the greatest common factor 26848 and 26865 is 1.

Also check out the Least Common Multiple of 26848 and 26865