Greatest Common Factor of 4872 and 4874

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 4872, 4874 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4872 and 4874 is 2.

GCF(4872,4874) = 2

GCF of 4872 and 4874

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

GCF of:
and

Greatest Common Factor of 4872 and 4874

GCF of 4872 and 4874 is 2

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

Prime Factorization of 4874


2 4874
2437 2437
1

Prime factors of 4874 are 2,2437. Prime factorization of 4874 in exponential form is:

4874 = 21×24371

∴ So by taking common prime factors GCF of 4872 and 4874 is 2

Greatest Common Factor of 4872 and 4874 by matching factors method

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

Factors of 4874

List of positive integer factors of 4874 that divides 4874 without a remainder.

1,2,2437,4874

Greatest Common Factor

We found the factors and prime factorization of 4872 and 4874. The biggest common factor number is the GCF number.
So the greatest common factor 4872 and 4874 is 2.

Also check out the Least Common Multiple of 4872 and 4874

Properties of GCF 4872 and 4874

(i) The GCF of 4872 and 4874 is associative

GCF of 4872 and 4874 = GCF of 4874 and 4872

Related Greatest Common Factor of 4872

Related Greatest Common Factor of 4874

Frequently Asked Questions on GCF of 4872 and 4874

1. What is the GCF of 4872 and 4874?

Answer: GCF of 4872 and 4874 is 2.

2. 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.

3. What are the Factors of 4874?

Answer: Factors of 4874 are 1, 2, 2437, 4874. There are 4 integers that are factors of 4874. The greatest factor of 4874 is 4874.

4. How to Find the GCF of 4872 and 4874?

Answer:

Greatest Common Factor of 4872 and 4874 = 2

Step 1: Find the prime factorization of 4872

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

Step 2: Find the prime factorization of 4874

4874 = 2 x 2437

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 4872 and 4874 is 2