Greatest Common Factor of 4677 and 4683

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 4677, 4683 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4677 and 4683 is 3.

GCF(4677,4683) = 3

GCF of 4677 and 4683

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

GCF of:
and

Greatest Common Factor of 4677 and 4683

GCF of 4677 and 4683 is 3

Prime Factorization of 4677


3 4677
1559 1559
1

Prime factors of 4677 are 3,1559. Prime factorization of 4677 in exponential form is:

4677 = 31×15591

Prime Factorization of 4683


3 4683
7 1561
223 223
1

Prime factors of 4683 are 3,7,223. Prime factorization of 4683 in exponential form is:

4683 = 31×71×2231

∴ So by taking common prime factors GCF of 4677 and 4683 is 3

Greatest Common Factor of 4677 and 4683 by matching factors method

Factors of 4677

List of positive integer factors of 4677 that divides 4677 without a remainder.

1,3,1559,4677

Factors of 4683

List of positive integer factors of 4683 that divides 4683 without a remainder.

1,3,7,21,223,669,1561,4683

Greatest Common Factor

We found the factors and prime factorization of 4677 and 4683. The biggest common factor number is the GCF number.
So the greatest common factor 4677 and 4683 is 3.

Also check out the Least Common Multiple of 4677 and 4683

Properties of GCF 4677 and 4683

(i) The GCF of 4677 and 4683 is associative

GCF of 4677 and 4683 = GCF of 4683 and 4677

Related Greatest Common Factor of 4677

Related Greatest Common Factor of 4683

Frequently Asked Questions on GCF of 4677 and 4683

1. What is the GCF of 4677 and 4683?

Answer: GCF of 4677 and 4683 is 3.

2. What are the Factors of 4677?

Answer: Factors of 4677 are 1, 3, 1559, 4677. There are 4 integers that are factors of 4677. The greatest factor of 4677 is 4677.

3. What are the Factors of 4683?

Answer: Factors of 4683 are 1, 3, 7, 21, 223, 669, 1561, 4683. There are 8 integers that are factors of 4683. The greatest factor of 4683 is 4683.

4. How to Find the GCF of 4677 and 4683?

Answer:

Greatest Common Factor of 4677 and 4683 = 3

Step 1: Find the prime factorization of 4677

4677 = 3 x 1559

Step 2: Find the prime factorization of 4683

4683 = 3 x 7 x 223

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4677 and 4683 is 3