What is the Greatest Common Factor of 26767 and 26780?

Greatest common factor (GCF) of 26767 and 26780 is 13.

GCF(26767,26780) = 13

We will now calculate the prime factors of 26767 and 26780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26767 and 26780.

How to find the GCF of 26767 and 26780?

We will first find the prime factorization of 26767 and 26780. After we will calculate the factors of 26767 and 26780 and find the biggest common factor number .

Step-1: Prime Factorization of 26767

Prime factors of 26767 are 13, 29, 71. Prime factorization of 26767 in exponential form is:

26767 = 13¹ × 29¹ × 71¹

Step-2: Prime Factorization of 26780

Prime factors of 26780 are 2, 5, 13, 103. Prime factorization of 26780 in exponential form is:

26780 = 2² × 5¹ × 13¹ × 103¹

Step-3: Factors of 26767

List of positive integer factors of 26767 that divides 26767 without a remainder.

1, 13, 29, 71, 377, 923, 2059

Step-4: Factors of 26780

List of positive integer factors of 26780 that divides 26767 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 103, 130, 206, 260, 412, 515, 1030, 1339, 2060, 2678, 5356, 6695, 13390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26767 and 26780. The biggest common factor number is the GCF number.
So the greatest common factor 26767 and 26780 is 13.

Also check out the Least Common Multiple of 26767 and 26780