What is the Greatest Common Factor of 26931 and 26946?

Greatest common factor (GCF) of 26931 and 26946 is 3.

GCF(26931,26946) = 3

We will now calculate the prime factors of 26931 and 26946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26931 and 26946.

How to find the GCF of 26931 and 26946?

We will first find the prime factorization of 26931 and 26946. After we will calculate the factors of 26931 and 26946 and find the biggest common factor number .

Step-1: Prime Factorization of 26931

Prime factors of 26931 are 3, 47, 191. Prime factorization of 26931 in exponential form is:

26931 = 3¹ × 47¹ × 191¹

Step-2: Prime Factorization of 26946

Prime factors of 26946 are 2, 3, 499. Prime factorization of 26946 in exponential form is:

26946 = 2¹ × 3³ × 499¹

Step-3: Factors of 26931

List of positive integer factors of 26931 that divides 26931 without a remainder.

1, 3, 47, 141, 191, 573, 8977

Step-4: Factors of 26946

List of positive integer factors of 26946 that divides 26931 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 499, 998, 1497, 2994, 4491, 8982, 13473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26931 and 26946. The biggest common factor number is the GCF number.
So the greatest common factor 26931 and 26946 is 3.

Also check out the Least Common Multiple of 26931 and 26946