Greatest Common Factor of 4864 and 4868

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, 4868 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4864 and 4868 is 4.

GCF(4864,4868) = 4

GCF of 4864 and 4868

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

GCF of:
and

Greatest Common Factor of 4864 and 4868

GCF of 4864 and 4868 is 4

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 4868


2 4868
2 2434
1217 1217
1

Prime factors of 4868 are 2,1217. Prime factorization of 4868 in exponential form is:

4868 = 22×12171

∴ So by taking common prime factors GCF of 4864 and 4868 is 4

Greatest Common Factor of 4864 and 4868 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 4868

List of positive integer factors of 4868 that divides 4868 without a remainder.

1,2,4,1217,2434,4868

Greatest Common Factor

We found the factors and prime factorization of 4864 and 4868. The biggest common factor number is the GCF number.
So the greatest common factor 4864 and 4868 is 4.

Also check out the Least Common Multiple of 4864 and 4868

Properties of GCF 4864 and 4868

(i) The GCF of 4864 and 4868 is associative

GCF of 4864 and 4868 = GCF of 4868 and 4864

Related Greatest Common Factor of 4864

Related Greatest Common Factor of 4868

Frequently Asked Questions on GCF of 4864 and 4868

1. What is the GCF of 4864 and 4868?

Answer: GCF of 4864 and 4868 is 4.

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 4868?

Answer: Factors of 4868 are 1, 2, 4, 1217, 2434, 4868. There are 6 integers that are factors of 4868. The greatest factor of 4868 is 4868.

4. How to Find the GCF of 4864 and 4868?

Answer:

Greatest Common Factor of 4864 and 4868 = 4

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 4868

4868 = 2 x 2 x 1217

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 4864 and 4868 is 4