What is the Greatest Common Factor of 7911 and 7917?

Greatest common factor (GCF) of 7911 and 7917 is 3.

GCF(7911,7917) = 3

We will now calculate the prime factors of 7911 and 7917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7911 and 7917.

How to find the GCF of 7911 and 7917?

We will first find the prime factorization of 7911 and 7917. After we will calculate the factors of 7911 and 7917 and find the biggest common factor number .

Step-1: Prime Factorization of 7911

Prime factors of 7911 are 3, 293. Prime factorization of 7911 in exponential form is:

7911 = 3³ × 293¹

Step-2: Prime Factorization of 7917

Prime factors of 7917 are 3, 7, 13, 29. Prime factorization of 7917 in exponential form is:

7917 = 3¹ × 7¹ × 13¹ × 29¹

Step-3: Factors of 7911

List of positive integer factors of 7911 that divides 7911 without a remainder.

1, 3, 9, 27, 293, 879, 2637

Step-4: Factors of 7917

List of positive integer factors of 7917 that divides 7911 without a remainder.

1, 3, 7, 13, 21, 29, 39, 87, 91, 203, 273, 377, 609, 1131, 2639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7911 and 7917. The biggest common factor number is the GCF number.
So the greatest common factor 7911 and 7917 is 3.

Also check out the Least Common Multiple of 7911 and 7917