Greatest Common Factor of 4856 and 4864

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 4856, 4864 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4856 and 4864 is 8.

GCF(4856,4864) = 8

GCF of 4856 and 4864

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

GCF of:
and

Greatest Common Factor of 4856 and 4864

GCF of 4856 and 4864 is 8

Prime Factorization of 4856


2 4856
2 2428
2 1214
607 607
1

Prime factors of 4856 are 2,607. Prime factorization of 4856 in exponential form is:

4856 = 23×6071

Prime Factorization of 4864


2 4864
2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 4864 are 2,19. Prime factorization of 4864 in exponential form is:

4864 = 28×191

∴ So by taking common prime factors GCF of 4856 and 4864 is 8

Greatest Common Factor of 4856 and 4864 by matching factors method

Factors of 4856

List of positive integer factors of 4856 that divides 4856 without a remainder.

1,2,4,8,607,1214,2428,4856

Factors of 4864

List of positive integer factors of 4864 that divides 4864 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,256,304,608,1216,2432,4864

Greatest Common Factor

We found the factors and prime factorization of 4856 and 4864. The biggest common factor number is the GCF number.
So the greatest common factor 4856 and 4864 is 8.

Also check out the Least Common Multiple of 4856 and 4864

Properties of GCF 4856 and 4864

(i) The GCF of 4856 and 4864 is associative

GCF of 4856 and 4864 = GCF of 4864 and 4856

Related Greatest Common Factor of 4856

Related Greatest Common Factor of 4864

Frequently Asked Questions on GCF of 4856 and 4864

1. What is the GCF of 4856 and 4864?

Answer: GCF of 4856 and 4864 is 8.

2. What are the Factors of 4856?

Answer: Factors of 4856 are 1, 2, 4, 8, 607, 1214, 2428, 4856. There are 8 integers that are factors of 4856. The greatest factor of 4856 is 4856.

3. What are the Factors of 4864?

Answer: Factors of 4864 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432, 4864. There are 18 integers that are factors of 4864. The greatest factor of 4864 is 4864.

4. How to Find the GCF of 4856 and 4864?

Answer:

Greatest Common Factor of 4856 and 4864 = 8

Step 1: Find the prime factorization of 4856

4856 = 2 x 2 x 2 x 607

Step 2: Find the prime factorization of 4864

4864 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 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 x 2 = 8

Step 4: Therefore, the greatest common factor of 4856 and 4864 is 8