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 4656, 4660 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4656 and 4660 is 4.
GCF(4656,4660) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4656
2 | 4656 |
2 | 2328 |
2 | 1164 |
2 | 582 |
3 | 291 |
97 | 97 |
1 |
Prime factors of 4656 are 2,3,97. Prime factorization of 4656 in exponential form is:
4656 = 24×31×971
Prime Factorization of 4660
2 | 4660 |
2 | 2330 |
5 | 1165 |
233 | 233 |
1 |
Prime factors of 4660 are 2,5,233. Prime factorization of 4660 in exponential form is:
4660 = 22×51×2331
∴ So by taking common prime factors GCF of 4656 and 4660 is 4
Factors of 4656
List of positive integer factors of 4656 that divides 4656 without a remainder.
1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656
Factors of 4660
List of positive integer factors of 4660 that divides 4660 without a remainder.
1,2,4,5,10,20,233,466,932,1165,2330,4660
Greatest Common Factor
We found the factors and prime factorization of 4656 and 4660. The biggest common factor number is the GCF number.
So the greatest common factor 4656 and 4660 is 4.
Also check out the Least Common Multiple of 4656 and 4660
(i) The GCF of 4656 and 4660 is associative
GCF of 4656 and 4660 = GCF of 4660 and 4656
1. What is the GCF of 4656 and 4660?
Answer: GCF of 4656 and 4660 is 4.
2. What are the Factors of 4656?
Answer: Factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656. There are 20 integers that are factors of 4656. The greatest factor of 4656 is 4656.
3. What are the Factors of 4660?
Answer: Factors of 4660 are 1, 2, 4, 5, 10, 20, 233, 466, 932, 1165, 2330, 4660. There are 12 integers that are factors of 4660. The greatest factor of 4660 is 4660.
4. How to Find the GCF of 4656 and 4660?
Answer:
Greatest Common Factor of 4656 and 4660 = 4
Step 1: Find the prime factorization of 4656
4656 = 2 x 2 x 2 x 2 x 3 x 97
Step 2: Find the prime factorization of 4660
4660 = 2 x 2 x 5 x 233
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 4656 and 4660 is 4