What is the Greatest Common Factor of 26771 and 26790?

Greatest common factor (GCF) of 26771 and 26790 is 19.

GCF(26771,26790) = 19

We will now calculate the prime factors of 26771 and 26790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26771 and 26790.

How to find the GCF of 26771 and 26790?

We will first find the prime factorization of 26771 and 26790. After we will calculate the factors of 26771 and 26790 and find the biggest common factor number .

Step-1: Prime Factorization of 26771

Prime factors of 26771 are 19, 1409. Prime factorization of 26771 in exponential form is:

26771 = 19¹ × 1409¹

Step-2: Prime Factorization of 26790

Prime factors of 26790 are 2, 3, 5, 19, 47. Prime factorization of 26790 in exponential form is:

26790 = 2¹ × 3¹ × 5¹ × 19¹ × 47¹

Step-3: Factors of 26771

List of positive integer factors of 26771 that divides 26771 without a remainder.

1, 19, 1409

Step-4: Factors of 26790

List of positive integer factors of 26790 that divides 26771 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 47, 57, 94, 95, 114, 141, 190, 235, 282, 285, 470, 570, 705, 893, 1410, 1786, 2679, 4465, 5358, 8930, 13395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26771 and 26790. The biggest common factor number is the GCF number.
So the greatest common factor 26771 and 26790 is 19.

Also check out the Least Common Multiple of 26771 and 26790