What is the Greatest Common Factor of 4340 and 4347?

Greatest common factor (GCF) of 4340 and 4347 is 7.

GCF(4340,4347) = 7

We will now calculate the prime factors of 4340 and 4347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4340 and 4347.

How to find the GCF of 4340 and 4347?

We will first find the prime factorization of 4340 and 4347. After we will calculate the factors of 4340 and 4347 and find the biggest common factor number .

Step-1: Prime Factorization of 4340

Prime factors of 4340 are 2, 5, 7, 31. Prime factorization of 4340 in exponential form is:

4340 = 2² × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 4347

Prime factors of 4347 are 3, 7, 23. Prime factorization of 4347 in exponential form is:

4347 = 3³ × 7¹ × 23¹

Step-3: Factors of 4340

List of positive integer factors of 4340 that divides 4340 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170

Step-4: Factors of 4347

List of positive integer factors of 4347 that divides 4340 without a remainder.

1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 621, 1449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4340 and 4347. The biggest common factor number is the GCF number.
So the greatest common factor 4340 and 4347 is 7.

Also check out the Least Common Multiple of 4340 and 4347