Greatest Common Factor of 4780 and 4788

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 4780, 4788 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4780 and 4788 is 4.

GCF(4780,4788) = 4

GCF of 4780 and 4788

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

GCF of:
and

Greatest Common Factor of 4780 and 4788

GCF of 4780 and 4788 is 4

Prime Factorization of 4780


2 4780
2 2390
5 1195
239 239
1

Prime factors of 4780 are 2,5,239. Prime factorization of 4780 in exponential form is:

4780 = 22×51×2391

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

∴ So by taking common prime factors GCF of 4780 and 4788 is 4

Greatest Common Factor of 4780 and 4788 by matching factors method

Factors of 4780

List of positive integer factors of 4780 that divides 4780 without a remainder.

1,2,4,5,10,20,239,478,956,1195,2390,4780

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

Greatest Common Factor

We found the factors and prime factorization of 4780 and 4788. The biggest common factor number is the GCF number.
So the greatest common factor 4780 and 4788 is 4.

Also check out the Least Common Multiple of 4780 and 4788

Properties of GCF 4780 and 4788

(i) The GCF of 4780 and 4788 is associative

GCF of 4780 and 4788 = GCF of 4788 and 4780

Related Greatest Common Factor of 4780

Related Greatest Common Factor of 4788

Frequently Asked Questions on GCF of 4780 and 4788

1. What is the GCF of 4780 and 4788?

Answer: GCF of 4780 and 4788 is 4.

2. What are the Factors of 4780?

Answer: Factors of 4780 are 1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780. There are 12 integers that are factors of 4780. The greatest factor of 4780 is 4780.

3. 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.

4. How to Find the GCF of 4780 and 4788?

Answer:

Greatest Common Factor of 4780 and 4788 = 4

Step 1: Find the prime factorization of 4780

4780 = 2 x 2 x 5 x 239

Step 2: Find the prime factorization of 4788

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4780 and 4788 is 4