Greatest Common Factor of 4790 and 4794

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 4790, 4794 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4790 and 4794 is 2.

GCF(4790,4794) = 2

GCF of 4790 and 4794

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

GCF of:
and

Greatest Common Factor of 4790 and 4794

GCF of 4790 and 4794 is 2

Prime Factorization of 4790


2 4790
5 2395
479 479
1

Prime factors of 4790 are 2,5,479. Prime factorization of 4790 in exponential form is:

4790 = 21×51×4791

Prime Factorization of 4794


2 4794
3 2397
17 799
47 47
1

Prime factors of 4794 are 2,3,17,47. Prime factorization of 4794 in exponential form is:

4794 = 21×31×171×471

∴ So by taking common prime factors GCF of 4790 and 4794 is 2

Greatest Common Factor of 4790 and 4794 by matching factors method

Factors of 4790

List of positive integer factors of 4790 that divides 4790 without a remainder.

1,2,5,10,479,958,2395,4790

Factors of 4794

List of positive integer factors of 4794 that divides 4794 without a remainder.

1,2,3,6,17,34,47,51,94,102,141,282,799,1598,2397,4794

Greatest Common Factor

We found the factors and prime factorization of 4790 and 4794. The biggest common factor number is the GCF number.
So the greatest common factor 4790 and 4794 is 2.

Also check out the Least Common Multiple of 4790 and 4794

Properties of GCF 4790 and 4794

(i) The GCF of 4790 and 4794 is associative

GCF of 4790 and 4794 = GCF of 4794 and 4790

Related Greatest Common Factor of 4790

Related Greatest Common Factor of 4794

Frequently Asked Questions on GCF of 4790 and 4794

1. What is the GCF of 4790 and 4794?

Answer: GCF of 4790 and 4794 is 2.

2. What are the Factors of 4790?

Answer: Factors of 4790 are 1, 2, 5, 10, 479, 958, 2395, 4790. There are 8 integers that are factors of 4790. The greatest factor of 4790 is 4790.

3. What are the Factors of 4794?

Answer: Factors of 4794 are 1, 2, 3, 6, 17, 34, 47, 51, 94, 102, 141, 282, 799, 1598, 2397, 4794. There are 16 integers that are factors of 4794. The greatest factor of 4794 is 4794.

4. How to Find the GCF of 4790 and 4794?

Answer:

Greatest Common Factor of 4790 and 4794 = 2

Step 1: Find the prime factorization of 4790

4790 = 2 x 5 x 479

Step 2: Find the prime factorization of 4794

4794 = 2 x 3 x 17 x 47

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 4790 and 4794 is 2