What is the Greatest Common Factor of 26740 and 26756?

Greatest common factor (GCF) of 26740 and 26756 is 4.

GCF(26740,26756) = 4

We will now calculate the prime factors of 26740 and 26756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26740 and 26756.

How to find the GCF of 26740 and 26756?

We will first find the prime factorization of 26740 and 26756. After we will calculate the factors of 26740 and 26756 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26756

Prime factors of 26756 are 2, 6689. Prime factorization of 26756 in exponential form is:

26756 = 2² × 6689¹

Step-3: Factors of 26740

List of positive integer factors of 26740 that divides 26740 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

Step-4: Factors of 26756

List of positive integer factors of 26756 that divides 26740 without a remainder.

1, 2, 4, 6689, 13378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26740 and 26756. The biggest common factor number is the GCF number.
So the greatest common factor 26740 and 26756 is 4.

Also check out the Least Common Multiple of 26740 and 26756