Greatest Common Factor of 4862 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 4862, 4864 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4862 and 4864 is 2.

GCF(4862,4864) = 2

GCF of 4862 and 4864

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

GCF of:
and

Greatest Common Factor of 4862 and 4864

GCF of 4862 and 4864 is 2

Prime Factorization of 4862


2 4862
11 2431
13 221
17 17
1

Prime factors of 4862 are 2,11,13,17. Prime factorization of 4862 in exponential form is:

4862 = 21×111×131×171

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 4862 and 4864 is 2

Greatest Common Factor of 4862 and 4864 by matching factors method

Factors of 4862

List of positive integer factors of 4862 that divides 4862 without a remainder.

1,2,11,13,17,22,26,34,143,187,221,286,374,442,2431,4862

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 4862 and 4864. The biggest common factor number is the GCF number.
So the greatest common factor 4862 and 4864 is 2.

Also check out the Least Common Multiple of 4862 and 4864

Properties of GCF 4862 and 4864

(i) The GCF of 4862 and 4864 is associative

GCF of 4862 and 4864 = GCF of 4864 and 4862

Related Greatest Common Factor of 4862

Related Greatest Common Factor of 4864

Frequently Asked Questions on GCF of 4862 and 4864

1. What is the GCF of 4862 and 4864?

Answer: GCF of 4862 and 4864 is 2.

2. What are the Factors of 4862?

Answer: Factors of 4862 are 1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431, 4862. There are 16 integers that are factors of 4862. The greatest factor of 4862 is 4862.

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 4862 and 4864?

Answer:

Greatest Common Factor of 4862 and 4864 = 2

Step 1: Find the prime factorization of 4862

4862 = 2 x 11 x 13 x 17

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

Step 4: Therefore, the greatest common factor of 4862 and 4864 is 2