What is the Greatest Common Factor of 26945 and 26960?

Greatest common factor (GCF) of 26945 and 26960 is 5.

GCF(26945,26960) = 5

We will now calculate the prime factors of 26945 and 26960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26945 and 26960.

How to find the GCF of 26945 and 26960?

We will first find the prime factorization of 26945 and 26960. After we will calculate the factors of 26945 and 26960 and find the biggest common factor number .

Step-1: Prime Factorization of 26945

Prime factors of 26945 are 5, 17, 317. Prime factorization of 26945 in exponential form is:

26945 = 5¹ × 17¹ × 317¹

Step-2: Prime Factorization of 26960

Prime factors of 26960 are 2, 5, 337. Prime factorization of 26960 in exponential form is:

26960 = 2⁴ × 5¹ × 337¹

Step-3: Factors of 26945

List of positive integer factors of 26945 that divides 26945 without a remainder.

1, 5, 17, 85, 317, 1585, 5389

Step-4: Factors of 26960

List of positive integer factors of 26960 that divides 26945 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 337, 674, 1348, 1685, 2696, 3370, 5392, 6740, 13480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26945 and 26960. The biggest common factor number is the GCF number.
So the greatest common factor 26945 and 26960 is 5.

Also check out the Least Common Multiple of 26945 and 26960