What is the Greatest Common Factor of 26857 and 26865?

Greatest common factor (GCF) of 26857 and 26865 is 1.

GCF(26857,26865) = 1

We will now calculate the prime factors of 26857 and 26865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26857 and 26865.

How to find the GCF of 26857 and 26865?

We will first find the prime factorization of 26857 and 26865. After we will calculate the factors of 26857 and 26865 and find the biggest common factor number .

Step-1: Prime Factorization of 26857

Prime factors of 26857 are 107, 251. Prime factorization of 26857 in exponential form is:

26857 = 107¹ × 251¹

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 26857

List of positive integer factors of 26857 that divides 26857 without a remainder.

1, 107, 251

Step-4: Factors of 26865

List of positive integer factors of 26865 that divides 26857 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 26857 and 26865. The biggest common factor number is the GCF number.
So the greatest common factor 26857 and 26865 is 1.

Also check out the Least Common Multiple of 26857 and 26865