What is the Greatest Common Factor of 26854 and 26861?

Greatest common factor (GCF) of 26854 and 26861 is 1.

GCF(26854,26861) = 1

We will now calculate the prime factors of 26854 and 26861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26854 and 26861.

How to find the GCF of 26854 and 26861?

We will first find the prime factorization of 26854 and 26861. After we will calculate the factors of 26854 and 26861 and find the biggest common factor number .

Step-1: Prime Factorization of 26854

Prime factors of 26854 are 2, 29, 463. Prime factorization of 26854 in exponential form is:

26854 = 2¹ × 29¹ × 463¹

Step-2: Prime Factorization of 26861

Prime factors of 26861 are 26861. Prime factorization of 26861 in exponential form is:

26861 = 26861¹

Step-3: Factors of 26854

List of positive integer factors of 26854 that divides 26854 without a remainder.

1, 2, 29, 58, 463, 926, 13427

Step-4: Factors of 26861

List of positive integer factors of 26861 that divides 26854 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26854 and 26861. The biggest common factor number is the GCF number.
So the greatest common factor 26854 and 26861 is 1.

Also check out the Least Common Multiple of 26854 and 26861