What is the Greatest Common Factor of 26997 and 27001?

Greatest common factor (GCF) of 26997 and 27001 is 1.

GCF(26997,27001) = 1

We will now calculate the prime factors of 26997 and 27001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26997 and 27001.

How to find the GCF of 26997 and 27001?

We will first find the prime factorization of 26997 and 27001. After we will calculate the factors of 26997 and 27001 and find the biggest common factor number .

Step-1: Prime Factorization of 26997

Prime factors of 26997 are 3, 8999. Prime factorization of 26997 in exponential form is:

26997 = 3¹ × 8999¹

Step-2: Prime Factorization of 27001

Prime factors of 27001 are 13, 31, 67. Prime factorization of 27001 in exponential form is:

27001 = 13¹ × 31¹ × 67¹

Step-3: Factors of 26997

List of positive integer factors of 26997 that divides 26997 without a remainder.

1, 3, 8999

Step-4: Factors of 27001

List of positive integer factors of 27001 that divides 26997 without a remainder.

1, 13, 31, 67, 403, 871, 2077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26997 and 27001. The biggest common factor number is the GCF number.
So the greatest common factor 26997 and 27001 is 1.

Also check out the Least Common Multiple of 26997 and 27001