What is the Greatest Common Factor of 26780 and 26797?

Greatest common factor (GCF) of 26780 and 26797 is 1.

GCF(26780,26797) = 1

We will now calculate the prime factors of 26780 and 26797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26780 and 26797.

How to find the GCF of 26780 and 26797?

We will first find the prime factorization of 26780 and 26797. After we will calculate the factors of 26780 and 26797 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26797

Prime factors of 26797 are 127, 211. Prime factorization of 26797 in exponential form is:

26797 = 127¹ × 211¹

Step-3: Factors of 26780

List of positive integer factors of 26780 that divides 26780 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

Step-4: Factors of 26797

List of positive integer factors of 26797 that divides 26780 without a remainder.

1, 127, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26780 and 26797. The biggest common factor number is the GCF number.
So the greatest common factor 26780 and 26797 is 1.

Also check out the Least Common Multiple of 26780 and 26797