Greatest Common Factor of 4780 and 4784

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, 4784 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4780 and 4784 is 4.

GCF(4780,4784) = 4

GCF of 4780 and 4784

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

GCF of:
and

Greatest Common Factor of 4780 and 4784

GCF of 4780 and 4784 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 4784


2 4784
2 2392
2 1196
2 598
13 299
23 23
1

Prime factors of 4784 are 2,13,23. Prime factorization of 4784 in exponential form is:

4784 = 24×131×231

∴ So by taking common prime factors GCF of 4780 and 4784 is 4

Greatest Common Factor of 4780 and 4784 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 4784

List of positive integer factors of 4784 that divides 4784 without a remainder.

1,2,4,8,13,16,23,26,46,52,92,104,184,208,299,368,598,1196,2392,4784

Greatest Common Factor

We found the factors and prime factorization of 4780 and 4784. The biggest common factor number is the GCF number.
So the greatest common factor 4780 and 4784 is 4.

Also check out the Least Common Multiple of 4780 and 4784

Properties of GCF 4780 and 4784

(i) The GCF of 4780 and 4784 is associative

GCF of 4780 and 4784 = GCF of 4784 and 4780

Related Greatest Common Factor of 4780

Related Greatest Common Factor of 4784

Frequently Asked Questions on GCF of 4780 and 4784

1. What is the GCF of 4780 and 4784?

Answer: GCF of 4780 and 4784 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 4784?

Answer: Factors of 4784 are 1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784. There are 20 integers that are factors of 4784. The greatest factor of 4784 is 4784.

4. How to Find the GCF of 4780 and 4784?

Answer:

Greatest Common Factor of 4780 and 4784 = 4

Step 1: Find the prime factorization of 4780

4780 = 2 x 2 x 5 x 239

Step 2: Find the prime factorization of 4784

4784 = 2 x 2 x 2 x 2 x 13 x 23

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 4784 is 4