What is the Greatest Common Factor of 26958 and 26973?

Greatest common factor (GCF) of 26958 and 26973 is 3.

GCF(26958,26973) = 3

We will now calculate the prime factors of 26958 and 26973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26958 and 26973.

How to find the GCF of 26958 and 26973?

We will first find the prime factorization of 26958 and 26973. After we will calculate the factors of 26958 and 26973 and find the biggest common factor number .

Step-1: Prime Factorization of 26958

Prime factors of 26958 are 2, 3, 4493. Prime factorization of 26958 in exponential form is:

26958 = 2¹ × 3¹ × 4493¹

Step-2: Prime Factorization of 26973

Prime factors of 26973 are 3, 37. Prime factorization of 26973 in exponential form is:

26973 = 3⁶ × 37¹

Step-3: Factors of 26958

List of positive integer factors of 26958 that divides 26958 without a remainder.

1, 2, 3, 6, 4493, 8986, 13479

Step-4: Factors of 26973

List of positive integer factors of 26973 that divides 26958 without a remainder.

1, 3, 9, 27, 37, 81, 111, 243, 333, 729, 999, 2997, 8991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26958 and 26973. The biggest common factor number is the GCF number.
So the greatest common factor 26958 and 26973 is 3.

Also check out the Least Common Multiple of 26958 and 26973