What is the Greatest Common Factor of 26719 and 26738?

Greatest common factor (GCF) of 26719 and 26738 is 1.

GCF(26719,26738) = 1

We will now calculate the prime factors of 26719 and 26738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26719 and 26738.

How to find the GCF of 26719 and 26738?

We will first find the prime factorization of 26719 and 26738. After we will calculate the factors of 26719 and 26738 and find the biggest common factor number .

Step-1: Prime Factorization of 26719

Prime factors of 26719 are 7, 11, 347. Prime factorization of 26719 in exponential form is:

26719 = 7¹ × 11¹ × 347¹

Step-2: Prime Factorization of 26738

Prime factors of 26738 are 2, 29, 461. Prime factorization of 26738 in exponential form is:

26738 = 2¹ × 29¹ × 461¹

Step-3: Factors of 26719

List of positive integer factors of 26719 that divides 26719 without a remainder.

1, 7, 11, 77, 347, 2429, 3817

Step-4: Factors of 26738

List of positive integer factors of 26738 that divides 26719 without a remainder.

1, 2, 29, 58, 461, 922, 13369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26719 and 26738. The biggest common factor number is the GCF number.
So the greatest common factor 26719 and 26738 is 1.

Also check out the Least Common Multiple of 26719 and 26738