What is the Greatest Common Factor of 26935 and 26945?

Greatest common factor (GCF) of 26935 and 26945 is 5.

GCF(26935,26945) = 5

We will now calculate the prime factors of 26935 and 26945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26935 and 26945.

How to find the GCF of 26935 and 26945?

We will first find the prime factorization of 26935 and 26945. After we will calculate the factors of 26935 and 26945 and find the biggest common factor number .

Step-1: Prime Factorization of 26935

Prime factors of 26935 are 5, 5387. Prime factorization of 26935 in exponential form is:

26935 = 5¹ × 5387¹

Step-2: 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-3: Factors of 26935

List of positive integer factors of 26935 that divides 26935 without a remainder.

1, 5, 5387

Step-4: Factors of 26945

List of positive integer factors of 26945 that divides 26935 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26935 and 26945. The biggest common factor number is the GCF number.
So the greatest common factor 26935 and 26945 is 5.

Also check out the Least Common Multiple of 26935 and 26945