What is the Greatest Common Factor of 26960 and 26965?

Greatest common factor (GCF) of 26960 and 26965 is 5.

GCF(26960,26965) = 5

We will now calculate the prime factors of 26960 and 26965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26960 and 26965.

How to find the GCF of 26960 and 26965?

We will first find the prime factorization of 26960 and 26965. After we will calculate the factors of 26960 and 26965 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26965

Prime factors of 26965 are 5, 5393. Prime factorization of 26965 in exponential form is:

26965 = 5¹ × 5393¹

Step-3: Factors of 26960

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

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

Step-4: Factors of 26965

List of positive integer factors of 26965 that divides 26960 without a remainder.

1, 5, 5393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26960 and 26965. The biggest common factor number is the GCF number.
So the greatest common factor 26960 and 26965 is 5.

Also check out the Least Common Multiple of 26960 and 26965