What is the Greatest Common Factor of 26999 and 27013?

Greatest common factor (GCF) of 26999 and 27013 is 7.

GCF(26999,27013) = 7

We will now calculate the prime factors of 26999 and 27013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26999 and 27013.

How to find the GCF of 26999 and 27013?

We will first find the prime factorization of 26999 and 27013. After we will calculate the factors of 26999 and 27013 and find the biggest common factor number .

Step-1: Prime Factorization of 26999

Prime factors of 26999 are 7, 19, 29. Prime factorization of 26999 in exponential form is:

26999 = 7² × 19¹ × 29¹

Step-2: Prime Factorization of 27013

Prime factors of 27013 are 7, 17, 227. Prime factorization of 27013 in exponential form is:

27013 = 7¹ × 17¹ × 227¹

Step-3: Factors of 26999

List of positive integer factors of 26999 that divides 26999 without a remainder.

1, 7, 19, 29, 49, 133, 203, 551, 931, 1421, 3857

Step-4: Factors of 27013

List of positive integer factors of 27013 that divides 26999 without a remainder.

1, 7, 17, 119, 227, 1589, 3859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26999 and 27013. The biggest common factor number is the GCF number.
So the greatest common factor 26999 and 27013 is 7.

Also check out the Least Common Multiple of 26999 and 27013