What is the Greatest Common Factor of 26901 and 26913?

Greatest common factor (GCF) of 26901 and 26913 is 3.

GCF(26901,26913) = 3

We will now calculate the prime factors of 26901 and 26913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26901 and 26913.

How to find the GCF of 26901 and 26913?

We will first find the prime factorization of 26901 and 26913. After we will calculate the factors of 26901 and 26913 and find the biggest common factor number .

Step-1: Prime Factorization of 26901

Prime factors of 26901 are 3, 7, 61. Prime factorization of 26901 in exponential form is:

26901 = 3² × 7² × 61¹

Step-2: Prime Factorization of 26913

Prime factors of 26913 are 3, 8971. Prime factorization of 26913 in exponential form is:

26913 = 3¹ × 8971¹

Step-3: Factors of 26901

List of positive integer factors of 26901 that divides 26901 without a remainder.

1, 3, 7, 9, 21, 49, 61, 63, 147, 183, 427, 441, 549, 1281, 2989, 3843, 8967

Step-4: Factors of 26913

List of positive integer factors of 26913 that divides 26901 without a remainder.

1, 3, 8971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26901 and 26913. The biggest common factor number is the GCF number.
So the greatest common factor 26901 and 26913 is 3.

Also check out the Least Common Multiple of 26901 and 26913