Greatest Common Factor of 4788 and 4790

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 4788, 4790 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4788 and 4790 is 2.

GCF(4788,4790) = 2

GCF of 4788 and 4790

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

GCF of:
and

Greatest Common Factor of 4788 and 4790

GCF of 4788 and 4790 is 2

Prime Factorization of 4788


2 4788
2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 4788 are 2,3,7,19. Prime factorization of 4788 in exponential form is:

4788 = 22×32×71×191

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

∴ So by taking common prime factors GCF of 4788 and 4790 is 2

Greatest Common Factor of 4788 and 4790 by matching factors method

Factors of 4788

List of positive integer factors of 4788 that divides 4788 without a remainder.

1,2,3,4,6,7,9,12,14,18,19,21,28,36,38,42,57,63,76,84,114,126,133,171,228,252,266,342,399,532,684,798,1197,1596,2394,4788

Factors of 4790

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

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

Greatest Common Factor

We found the factors and prime factorization of 4788 and 4790. The biggest common factor number is the GCF number.
So the greatest common factor 4788 and 4790 is 2.

Also check out the Least Common Multiple of 4788 and 4790

Properties of GCF 4788 and 4790

(i) The GCF of 4788 and 4790 is associative

GCF of 4788 and 4790 = GCF of 4790 and 4788

Related Greatest Common Factor of 4788

Related Greatest Common Factor of 4790

Frequently Asked Questions on GCF of 4788 and 4790

1. What is the GCF of 4788 and 4790?

Answer: GCF of 4788 and 4790 is 2.

2. What are the Factors of 4788?

Answer: Factors of 4788 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788. There are 36 integers that are factors of 4788. The greatest factor of 4788 is 4788.

3. 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.

4. How to Find the GCF of 4788 and 4790?

Answer:

Greatest Common Factor of 4788 and 4790 = 2

Step 1: Find the prime factorization of 4788

4788 = 2 x 2 x 3 x 3 x 7 x 19

Step 2: Find the prime factorization of 4790

4790 = 2 x 5 x 479

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 4788 and 4790 is 2