What is the Greatest Common Factor of 26897 and 26910?

Greatest common factor (GCF) of 26897 and 26910 is 13.

GCF(26897,26910) = 13

We will now calculate the prime factors of 26897 and 26910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26897 and 26910.

How to find the GCF of 26897 and 26910?

We will first find the prime factorization of 26897 and 26910. After we will calculate the factors of 26897 and 26910 and find the biggest common factor number .

Step-1: Prime Factorization of 26897

Prime factors of 26897 are 13, 2069. Prime factorization of 26897 in exponential form is:

26897 = 13¹ × 2069¹

Step-2: Prime Factorization of 26910

Prime factors of 26910 are 2, 3, 5, 13, 23. Prime factorization of 26910 in exponential form is:

26910 = 2¹ × 3² × 5¹ × 13¹ × 23¹

Step-3: Factors of 26897

List of positive integer factors of 26897 that divides 26897 without a remainder.

1, 13, 2069

Step-4: Factors of 26910

List of positive integer factors of 26910 that divides 26897 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 23, 26, 30, 39, 45, 46, 65, 69, 78, 90, 115, 117, 130, 138, 195, 207, 230, 234, 299, 345, 390, 414, 585, 598, 690, 897, 1035, 1170, 1495, 1794, 2070, 2691, 2990, 4485, 5382, 8970, 13455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26897 and 26910. The biggest common factor number is the GCF number.
So the greatest common factor 26897 and 26910 is 13.

Also check out the Least Common Multiple of 26897 and 26910