What is the Greatest Common Factor of 26982 and 26997?

Greatest common factor (GCF) of 26982 and 26997 is 3.

GCF(26982,26997) = 3

We will now calculate the prime factors of 26982 and 26997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26982 and 26997.

How to find the GCF of 26982 and 26997?

We will first find the prime factorization of 26982 and 26997. After we will calculate the factors of 26982 and 26997 and find the biggest common factor number .

Step-1: Prime Factorization of 26982

Prime factors of 26982 are 2, 3, 1499. Prime factorization of 26982 in exponential form is:

26982 = 2¹ × 3² × 1499¹

Step-2: Prime Factorization of 26997

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

26997 = 3¹ × 8999¹

Step-3: Factors of 26982

List of positive integer factors of 26982 that divides 26982 without a remainder.

1, 2, 3, 6, 9, 18, 1499, 2998, 4497, 8994, 13491

Step-4: Factors of 26997

List of positive integer factors of 26997 that divides 26982 without a remainder.

1, 3, 8999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26982 and 26997. The biggest common factor number is the GCF number.
So the greatest common factor 26982 and 26997 is 3.

Also check out the Least Common Multiple of 26982 and 26997