What is the Greatest Common Factor of 26714 and 26728?

Greatest common factor (GCF) of 26714 and 26728 is 2.

GCF(26714,26728) = 2

We will now calculate the prime factors of 26714 and 26728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26714 and 26728.

How to find the GCF of 26714 and 26728?

We will first find the prime factorization of 26714 and 26728. After we will calculate the factors of 26714 and 26728 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 26728

Prime factors of 26728 are 2, 13, 257. Prime factorization of 26728 in exponential form is:

26728 = 2³ × 13¹ × 257¹

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 26728

List of positive integer factors of 26728 that divides 26714 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 257, 514, 1028, 2056, 3341, 6682, 13364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26714 and 26728. The biggest common factor number is the GCF number.
So the greatest common factor 26714 and 26728 is 2.

Also check out the Least Common Multiple of 26714 and 26728