Greatest Common Factor of 4791 and 4797

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 4791, 4797 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4791 and 4797 is 3.

GCF(4791,4797) = 3

GCF of 4791 and 4797

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

GCF of:
and

Greatest Common Factor of 4791 and 4797

GCF of 4791 and 4797 is 3

Prime Factorization of 4791


3 4791
1597 1597
1

Prime factors of 4791 are 3,1597. Prime factorization of 4791 in exponential form is:

4791 = 31×15971

Prime Factorization of 4797


3 4797
3 1599
13 533
41 41
1

Prime factors of 4797 are 3,13,41. Prime factorization of 4797 in exponential form is:

4797 = 32×131×411

∴ So by taking common prime factors GCF of 4791 and 4797 is 3

Greatest Common Factor of 4791 and 4797 by matching factors method

Factors of 4791

List of positive integer factors of 4791 that divides 4791 without a remainder.

1,3,1597,4791

Factors of 4797

List of positive integer factors of 4797 that divides 4797 without a remainder.

1,3,9,13,39,41,117,123,369,533,1599,4797

Greatest Common Factor

We found the factors and prime factorization of 4791 and 4797. The biggest common factor number is the GCF number.
So the greatest common factor 4791 and 4797 is 3.

Also check out the Least Common Multiple of 4791 and 4797

Properties of GCF 4791 and 4797

(i) The GCF of 4791 and 4797 is associative

GCF of 4791 and 4797 = GCF of 4797 and 4791

Related Greatest Common Factor of 4791

Related Greatest Common Factor of 4797

Frequently Asked Questions on GCF of 4791 and 4797

1. What is the GCF of 4791 and 4797?

Answer: GCF of 4791 and 4797 is 3.

2. What are the Factors of 4791?

Answer: Factors of 4791 are 1, 3, 1597, 4791. There are 4 integers that are factors of 4791. The greatest factor of 4791 is 4791.

3. What are the Factors of 4797?

Answer: Factors of 4797 are 1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797. There are 12 integers that are factors of 4797. The greatest factor of 4797 is 4797.

4. How to Find the GCF of 4791 and 4797?

Answer:

Greatest Common Factor of 4791 and 4797 = 3

Step 1: Find the prime factorization of 4791

4791 = 3 x 1597

Step 2: Find the prime factorization of 4797

4797 = 3 x 3 x 13 x 41

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 4791 and 4797 is 3