Greatest Common Factor of 4671 and 4677

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 4671, 4677 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4671 and 4677 is 3.

GCF(4671,4677) = 3

GCF of 4671 and 4677

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

GCF of:
and

Greatest Common Factor of 4671 and 4677

GCF of 4671 and 4677 is 3

Prime Factorization of 4671


3 4671
3 1557
3 519
173 173
1

Prime factors of 4671 are 3,173. Prime factorization of 4671 in exponential form is:

4671 = 33×1731

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

∴ So by taking common prime factors GCF of 4671 and 4677 is 3

Greatest Common Factor of 4671 and 4677 by matching factors method

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1,3,9,27,173,519,1557,4671

Factors of 4677

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

1,3,1559,4677

Greatest Common Factor

We found the factors and prime factorization of 4671 and 4677. The biggest common factor number is the GCF number.
So the greatest common factor 4671 and 4677 is 3.

Also check out the Least Common Multiple of 4671 and 4677

Properties of GCF 4671 and 4677

(i) The GCF of 4671 and 4677 is associative

GCF of 4671 and 4677 = GCF of 4677 and 4671

Related Greatest Common Factor of 4671

Related Greatest Common Factor of 4677

Frequently Asked Questions on GCF of 4671 and 4677

1. What is the GCF of 4671 and 4677?

Answer: GCF of 4671 and 4677 is 3.

2. What are the Factors of 4671?

Answer: Factors of 4671 are 1, 3, 9, 27, 173, 519, 1557, 4671. There are 8 integers that are factors of 4671. The greatest factor of 4671 is 4671.

3. 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.

4. How to Find the GCF of 4671 and 4677?

Answer:

Greatest Common Factor of 4671 and 4677 = 3

Step 1: Find the prime factorization of 4671

4671 = 3 x 3 x 3 x 173

Step 2: Find the prime factorization of 4677

4677 = 3 x 1559

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 4671 and 4677 is 3