What is the Greatest Common Factor of 26714 and 26729?

Greatest common factor (GCF) of 26714 and 26729 is 1.

GCF(26714,26729) = 1

We will now calculate the prime factors of 26714 and 26729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26714 and 26729.

How to find the GCF of 26714 and 26729?

We will first find the prime factorization of 26714 and 26729. After we will calculate the factors of 26714 and 26729 and find the biggest common factor number .

Step-1: Prime Factorization of 26714

Prime factors of 26714 are 2, 19, 37. Prime factorization of 26714 in exponential form is:

26714 = 2¹ × 19² × 37¹

Step-2: Prime Factorization of 26729

Prime factors of 26729 are 26729. Prime factorization of 26729 in exponential form is:

26729 = 26729¹

Step-3: Factors of 26714

List of positive integer factors of 26714 that divides 26714 without a remainder.

1, 2, 19, 37, 38, 74, 361, 703, 722, 1406, 13357

Step-4: Factors of 26729

List of positive integer factors of 26729 that divides 26714 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26714 and 26729. The biggest common factor number is the GCF number.
So the greatest common factor 26714 and 26729 is 1.

Also check out the Least Common Multiple of 26714 and 26729