What is the Greatest Common Factor of 26780 and 26789?

Greatest common factor (GCF) of 26780 and 26789 is 1.

GCF(26780,26789) = 1

We will now calculate the prime factors of 26780 and 26789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26780 and 26789.

How to find the GCF of 26780 and 26789?

We will first find the prime factorization of 26780 and 26789. After we will calculate the factors of 26780 and 26789 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 26789

Prime factors of 26789 are 7, 43, 89. Prime factorization of 26789 in exponential form is:

26789 = 7¹ × 43¹ × 89¹

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 26789

List of positive integer factors of 26789 that divides 26780 without a remainder.

1, 7, 43, 89, 301, 623, 3827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26780 and 26789. The biggest common factor number is the GCF number.
So the greatest common factor 26780 and 26789 is 1.

Also check out the Least Common Multiple of 26780 and 26789