Greatest Common Factor of 4346 and 4348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4346, 4348 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4346 and 4348 is 2.

GCF(4346,4348) = 2

GCF of 4346 and 4348

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4346 and 4348

GCF of 4346 and 4348 is 2

Prime Factorization of 4346


2 4346
41 2173
53 53
1

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

4346 = 21×411×531

Prime Factorization of 4348


2 4348
2 2174
1087 1087
1

Prime factors of 4348 are 2,1087. Prime factorization of 4348 in exponential form is:

4348 = 22×10871

∴ So by taking common prime factors GCF of 4346 and 4348 is 2

Greatest Common Factor of 4346 and 4348 by matching factors method

Factors of 4346

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

1,2,41,53,82,106,2173,4346

Factors of 4348

List of positive integer factors of 4348 that divides 4348 without a remainder.

1,2,4,1087,2174,4348

Greatest Common Factor

We found the factors and prime factorization of 4346 and 4348. The biggest common factor number is the GCF number.
So the greatest common factor 4346 and 4348 is 2.

Also check out the Least Common Multiple of 4346 and 4348

Properties of GCF 4346 and 4348

(i) The GCF of 4346 and 4348 is associative

GCF of 4346 and 4348 = GCF of 4348 and 4346

Related Greatest Common Factor of 4346

Related Greatest Common Factor of 4348

Frequently Asked Questions on GCF of 4346 and 4348

1. What is the GCF of 4346 and 4348?

Answer: GCF of 4346 and 4348 is 2.

2. What are the Factors of 4346?

Answer: Factors of 4346 are 1, 2, 41, 53, 82, 106, 2173, 4346. There are 8 integers that are factors of 4346. The greatest factor of 4346 is 4346.

3. What are the Factors of 4348?

Answer: Factors of 4348 are 1, 2, 4, 1087, 2174, 4348. There are 6 integers that are factors of 4348. The greatest factor of 4348 is 4348.

4. How to Find the GCF of 4346 and 4348?

Answer:

Greatest Common Factor of 4346 and 4348 = 2

Step 1: Find the prime factorization of 4346

4346 = 2 x 41 x 53

Step 2: Find the prime factorization of 4348

4348 = 2 x 2 x 1087

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4346 and 4348 is 2