What is the Greatest Common Factor of 26714 and 26726?

Greatest common factor (GCF) of 26714 and 26726 is 2.

GCF(26714,26726) = 2

We will now calculate the prime factors of 26714 and 26726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26714 and 26726.

How to find the GCF of 26714 and 26726?

We will first find the prime factorization of 26714 and 26726. After we will calculate the factors of 26714 and 26726 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 26726

Prime factors of 26726 are 2, 7, 23, 83. Prime factorization of 26726 in exponential form is:

26726 = 2¹ × 7¹ × 23¹ × 83¹

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 26726

List of positive integer factors of 26726 that divides 26714 without a remainder.

1, 2, 7, 14, 23, 46, 83, 161, 166, 322, 581, 1162, 1909, 3818, 13363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26714 and 26726. The biggest common factor number is the GCF number.
So the greatest common factor 26714 and 26726 is 2.

Also check out the Least Common Multiple of 26714 and 26726