What is the Greatest Common Factor of 26579 and 26586?

Greatest common factor (GCF) of 26579 and 26586 is 7.

GCF(26579,26586) = 7

We will now calculate the prime factors of 26579 and 26586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26579 and 26586.

How to find the GCF of 26579 and 26586?

We will first find the prime factorization of 26579 and 26586. After we will calculate the factors of 26579 and 26586 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 26586

Prime factors of 26586 are 2, 3, 7, 211. Prime factorization of 26586 in exponential form is:

26586 = 2¹ × 3² × 7¹ × 211¹

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 26586

List of positive integer factors of 26586 that divides 26579 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 211, 422, 633, 1266, 1477, 1899, 2954, 3798, 4431, 8862, 13293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26579 and 26586. The biggest common factor number is the GCF number.
So the greatest common factor 26579 and 26586 is 7.

Also check out the Least Common Multiple of 26579 and 26586