Greatest Common Factor of 4776 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 4776, 4784 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4776 and 4784 is 8.

GCF(4776,4784) = 8

GCF of 4776 and 4784

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

GCF of:
and

Greatest Common Factor of 4776 and 4784

GCF of 4776 and 4784 is 8

Prime Factorization of 4776


2 4776
2 2388
2 1194
3 597
199 199
1

Prime factors of 4776 are 2,3,199. Prime factorization of 4776 in exponential form is:

4776 = 23×31×1991

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 4776 and 4784 is 8

Greatest Common Factor of 4776 and 4784 by matching factors method

Factors of 4776

List of positive integer factors of 4776 that divides 4776 without a remainder.

1,2,3,4,6,8,12,24,199,398,597,796,1194,1592,2388,4776

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 4776 and 4784. The biggest common factor number is the GCF number.
So the greatest common factor 4776 and 4784 is 8.

Also check out the Least Common Multiple of 4776 and 4784

Properties of GCF 4776 and 4784

(i) The GCF of 4776 and 4784 is associative

GCF of 4776 and 4784 = GCF of 4784 and 4776

Related Greatest Common Factor of 4776

Related Greatest Common Factor of 4784

Frequently Asked Questions on GCF of 4776 and 4784

1. What is the GCF of 4776 and 4784?

Answer: GCF of 4776 and 4784 is 8.

2. What are the Factors of 4776?

Answer: Factors of 4776 are 1, 2, 3, 4, 6, 8, 12, 24, 199, 398, 597, 796, 1194, 1592, 2388, 4776. There are 16 integers that are factors of 4776. The greatest factor of 4776 is 4776.

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 4776 and 4784?

Answer:

Greatest Common Factor of 4776 and 4784 = 8

Step 1: Find the prime factorization of 4776

4776 = 2 x 2 x 2 x 3 x 199

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 4776 and 4784 is 8