What is the Greatest Common Factor of 7341 and 7347?

Greatest common factor (GCF) of 7341 and 7347 is 3.

GCF(7341,7347) = 3

We will now calculate the prime factors of 7341 and 7347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7341 and 7347.

How to find the GCF of 7341 and 7347?

We will first find the prime factorization of 7341 and 7347. After we will calculate the factors of 7341 and 7347 and find the biggest common factor number .

Step-1: Prime Factorization of 7341

Prime factors of 7341 are 3, 2447. Prime factorization of 7341 in exponential form is:

7341 = 3¹ × 2447¹

Step-2: Prime Factorization of 7347

Prime factors of 7347 are 3, 31, 79. Prime factorization of 7347 in exponential form is:

7347 = 3¹ × 31¹ × 79¹

Step-3: Factors of 7341

List of positive integer factors of 7341 that divides 7341 without a remainder.

1, 3, 2447

Step-4: Factors of 7347

List of positive integer factors of 7347 that divides 7341 without a remainder.

1, 3, 31, 79, 93, 237, 2449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7341 and 7347. The biggest common factor number is the GCF number.
So the greatest common factor 7341 and 7347 is 3.

Also check out the Least Common Multiple of 7341 and 7347