What is the Greatest Common Factor of 26579 and 26593?

Greatest common factor (GCF) of 26579 and 26593 is 7.

GCF(26579,26593) = 7

We will now calculate the prime factors of 26579 and 26593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26579 and 26593.

How to find the GCF of 26579 and 26593?

We will first find the prime factorization of 26579 and 26593. After we will calculate the factors of 26579 and 26593 and find the biggest common factor number .

Step-1: Prime Factorization of 26579

Prime factors of 26579 are 7, 3797. Prime factorization of 26579 in exponential form is:

26579 = 7¹ × 3797¹

Step-2: Prime Factorization of 26593

Prime factors of 26593 are 7, 29, 131. Prime factorization of 26593 in exponential form is:

26593 = 7¹ × 29¹ × 131¹

Step-3: Factors of 26579

List of positive integer factors of 26579 that divides 26579 without a remainder.

1, 7, 3797

Step-4: Factors of 26593

List of positive integer factors of 26593 that divides 26579 without a remainder.

1, 7, 29, 131, 203, 917, 3799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26579 and 26593. The biggest common factor number is the GCF number.
So the greatest common factor 26579 and 26593 is 7.

Also check out the Least Common Multiple of 26579 and 26593