What is the Greatest Common Factor of 26789 and 26801?

Greatest common factor (GCF) of 26789 and 26801 is 1.

GCF(26789,26801) = 1

We will now calculate the prime factors of 26789 and 26801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26789 and 26801.

How to find the GCF of 26789 and 26801?

We will first find the prime factorization of 26789 and 26801. After we will calculate the factors of 26789 and 26801 and find the biggest common factor number .

Step-1: Prime Factorization of 26789

Prime factors of 26789 are 7, 43, 89. Prime factorization of 26789 in exponential form is:

26789 = 7¹ × 43¹ × 89¹

Step-2: Prime Factorization of 26801

Prime factors of 26801 are 26801. Prime factorization of 26801 in exponential form is:

26801 = 26801¹

Step-3: Factors of 26789

List of positive integer factors of 26789 that divides 26789 without a remainder.

1, 7, 43, 89, 301, 623, 3827

Step-4: Factors of 26801

List of positive integer factors of 26801 that divides 26789 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26789 and 26801. The biggest common factor number is the GCF number.
So the greatest common factor 26789 and 26801 is 1.

Also check out the Least Common Multiple of 26789 and 26801