What is the Greatest Common Factor of 26726 and 26740?

Greatest common factor (GCF) of 26726 and 26740 is 14.

GCF(26726,26740) = 14

We will now calculate the prime factors of 26726 and 26740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26726 and 26740.

How to find the GCF of 26726 and 26740?

We will first find the prime factorization of 26726 and 26740. After we will calculate the factors of 26726 and 26740 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26740

Prime factors of 26740 are 2, 5, 7, 191. Prime factorization of 26740 in exponential form is:

26740 = 2² × 5¹ × 7¹ × 191¹

Step-3: Factors of 26726

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

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

Step-4: Factors of 26740

List of positive integer factors of 26740 that divides 26726 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 191, 382, 764, 955, 1337, 1910, 2674, 3820, 5348, 6685, 13370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26726 and 26740. The biggest common factor number is the GCF number.
So the greatest common factor 26726 and 26740 is 14.

Also check out the Least Common Multiple of 26726 and 26740