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, 4876 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4872 and 4876 is 4.
GCF(4872,4876) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 4876
2 | 4876 |
2 | 2438 |
23 | 1219 |
53 | 53 |
1 |
Prime factors of 4876 are 2,23,53. Prime factorization of 4876 in exponential form is:
4876 = 22×231×531
∴ So by taking common prime factors GCF of 4872 and 4876 is 4
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 4876
List of positive integer factors of 4876 that divides 4876 without a remainder.
1,2,4,23,46,53,92,106,212,1219,2438,4876
Greatest Common Factor
We found the factors and prime factorization of 4872 and 4876. The biggest common factor number is the GCF number.
So the greatest common factor 4872 and 4876 is 4.
Also check out the Least Common Multiple of 4872 and 4876
(i) The GCF of 4872 and 4876 is associative
GCF of 4872 and 4876 = GCF of 4876 and 4872
1. What is the GCF of 4872 and 4876?
Answer: GCF of 4872 and 4876 is 4.
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 4876?
Answer: Factors of 4876 are 1, 2, 4, 23, 46, 53, 92, 106, 212, 1219, 2438, 4876. There are 12 integers that are factors of 4876. The greatest factor of 4876 is 4876.
4. How to Find the GCF of 4872 and 4876?
Answer:
Greatest Common Factor of 4872 and 4876 = 4
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 4876
4876 = 2 x 2 x 23 x 53
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 4872 and 4876 is 4