What is the Greatest Common Factor of 76941 and 76947?

Greatest common factor (GCF) of 76941 and 76947 is 3.

GCF(76941,76947) = 3

We will now calculate the prime factors of 76941 and 76947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76941 and 76947.

How to find the GCF of 76941 and 76947?

We will first find the prime factorization of 76941 and 76947. After we will calculate the factors of 76941 and 76947 and find the biggest common factor number .

Step-1: Prime Factorization of 76941

Prime factors of 76941 are 3, 83, 103. Prime factorization of 76941 in exponential form is:

76941 = 3² × 83¹ × 103¹

Step-2: Prime Factorization of 76947

Prime factors of 76947 are 3, 13, 1973. Prime factorization of 76947 in exponential form is:

76947 = 3¹ × 13¹ × 1973¹

Step-3: Factors of 76941

List of positive integer factors of 76941 that divides 76941 without a remainder.

1, 3, 9, 83, 103, 249, 309, 747, 927, 8549, 25647

Step-4: Factors of 76947

List of positive integer factors of 76947 that divides 76941 without a remainder.

1, 3, 13, 39, 1973, 5919, 25649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76941 and 76947. The biggest common factor number is the GCF number.
So the greatest common factor 76941 and 76947 is 3.

Also check out the Least Common Multiple of 76941 and 76947