What is the Greatest Common Factor of 4346 and 4360?

Greatest common factor (GCF) of 4346 and 4360 is 2.

GCF(4346,4360) = 2

We will now calculate the prime factors of 4346 and 4360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4346 and 4360.

How to find the GCF of 4346 and 4360?

We will first find the prime factorization of 4346 and 4360. After we will calculate the factors of 4346 and 4360 and find the biggest common factor number .

Step-1: Prime Factorization of 4346

Prime factors of 4346 are 2, 41, 53. Prime factorization of 4346 in exponential form is:

4346 = 2¹ × 41¹ × 53¹

Step-2: Prime Factorization of 4360

Prime factors of 4360 are 2, 5, 109. Prime factorization of 4360 in exponential form is:

4360 = 2³ × 5¹ × 109¹

Step-3: Factors of 4346

List of positive integer factors of 4346 that divides 4346 without a remainder.

1, 2, 41, 53, 82, 106, 2173

Step-4: Factors of 4360

List of positive integer factors of 4360 that divides 4346 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4346 and 4360. The biggest common factor number is the GCF number.
So the greatest common factor 4346 and 4360 is 2.

Also check out the Least Common Multiple of 4346 and 4360