Greatest Common Factor of 4864 and 4872

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 4864, 4872 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4864 and 4872 is 8.

GCF(4864,4872) = 8

GCF of 4864 and 4872

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

GCF of:
and

Greatest Common Factor of 4864 and 4872

GCF of 4864 and 4872 is 8

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

Prime Factorization of 4872


2 4872
2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 4872 are 2,3,7,29. Prime factorization of 4872 in exponential form is:

4872 = 23×31×71×291

∴ So by taking common prime factors GCF of 4864 and 4872 is 8

Greatest Common Factor of 4864 and 4872 by matching factors method

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

Factors of 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872

Greatest Common Factor

We found the factors and prime factorization of 4864 and 4872. The biggest common factor number is the GCF number.
So the greatest common factor 4864 and 4872 is 8.

Also check out the Least Common Multiple of 4864 and 4872

Properties of GCF 4864 and 4872

(i) The GCF of 4864 and 4872 is associative

GCF of 4864 and 4872 = GCF of 4872 and 4864

Related Greatest Common Factor of 4864

Related Greatest Common Factor of 4872

Frequently Asked Questions on GCF of 4864 and 4872

1. What is the GCF of 4864 and 4872?

Answer: GCF of 4864 and 4872 is 8.

2. 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.

3. What are the Factors of 4872?

Answer: Factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872. There are 32 integers that are factors of 4872. The greatest factor of 4872 is 4872.

4. How to Find the GCF of 4864 and 4872?

Answer:

Greatest Common Factor of 4864 and 4872 = 8

Step 1: 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 2: Find the prime factorization of 4872

4872 = 2 x 2 x 2 x 3 x 7 x 29

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 4864 and 4872 is 8