What is the Greatest Common Factor of 26979 and 26994?

Greatest common factor (GCF) of 26979 and 26994 is 3.

GCF(26979,26994) = 3

We will now calculate the prime factors of 26979 and 26994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26979 and 26994.

How to find the GCF of 26979 and 26994?

We will first find the prime factorization of 26979 and 26994. After we will calculate the factors of 26979 and 26994 and find the biggest common factor number .

Step-1: Prime Factorization of 26979

Prime factors of 26979 are 3, 17, 23. Prime factorization of 26979 in exponential form is:

26979 = 3¹ × 17¹ × 23²

Step-2: Prime Factorization of 26994

Prime factors of 26994 are 2, 3, 11, 409. Prime factorization of 26994 in exponential form is:

26994 = 2¹ × 3¹ × 11¹ × 409¹

Step-3: Factors of 26979

List of positive integer factors of 26979 that divides 26979 without a remainder.

1, 3, 17, 23, 51, 69, 391, 529, 1173, 1587, 8993

Step-4: Factors of 26994

List of positive integer factors of 26994 that divides 26979 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 409, 818, 1227, 2454, 4499, 8998, 13497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26979 and 26994. The biggest common factor number is the GCF number.
So the greatest common factor 26979 and 26994 is 3.

Also check out the Least Common Multiple of 26979 and 26994