What is the Greatest Common Factor of 26365 and 26383?

Greatest common factor (GCF) of 26365 and 26383 is 1.

GCF(26365,26383) = 1

We will now calculate the prime factors of 26365 and 26383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26365 and 26383.

How to find the GCF of 26365 and 26383?

We will first find the prime factorization of 26365 and 26383. After we will calculate the factors of 26365 and 26383 and find the biggest common factor number .

Step-1: Prime Factorization of 26365

Prime factors of 26365 are 5, 5273. Prime factorization of 26365 in exponential form is:

26365 = 5¹ × 5273¹

Step-2: Prime Factorization of 26383

Prime factors of 26383 are 7, 3769. Prime factorization of 26383 in exponential form is:

26383 = 7¹ × 3769¹

Step-3: Factors of 26365

List of positive integer factors of 26365 that divides 26365 without a remainder.

1, 5, 5273

Step-4: Factors of 26383

List of positive integer factors of 26383 that divides 26365 without a remainder.

1, 7, 3769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26365 and 26383. The biggest common factor number is the GCF number.
So the greatest common factor 26365 and 26383 is 1.

Also check out the Least Common Multiple of 26365 and 26383