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 4668, 4676 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4668 and 4676 is 4.
GCF(4668,4676) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4668
2 | 4668 |
2 | 2334 |
3 | 1167 |
389 | 389 |
1 |
Prime factors of 4668 are 2,3,389. Prime factorization of 4668 in exponential form is:
4668 = 22×31×3891
Prime Factorization of 4676
2 | 4676 |
2 | 2338 |
7 | 1169 |
167 | 167 |
1 |
Prime factors of 4676 are 2,7,167. Prime factorization of 4676 in exponential form is:
4676 = 22×71×1671
∴ So by taking common prime factors GCF of 4668 and 4676 is 4
Factors of 4668
List of positive integer factors of 4668 that divides 4668 without a remainder.
1,2,3,4,6,12,389,778,1167,1556,2334,4668
Factors of 4676
List of positive integer factors of 4676 that divides 4676 without a remainder.
1,2,4,7,14,28,167,334,668,1169,2338,4676
Greatest Common Factor
We found the factors and prime factorization of 4668 and 4676. The biggest common factor number is the GCF number.
So the greatest common factor 4668 and 4676 is 4.
Also check out the Least Common Multiple of 4668 and 4676
(i) The GCF of 4668 and 4676 is associative
GCF of 4668 and 4676 = GCF of 4676 and 4668
1. What is the GCF of 4668 and 4676?
Answer: GCF of 4668 and 4676 is 4.
2. What are the Factors of 4668?
Answer: Factors of 4668 are 1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668. There are 12 integers that are factors of 4668. The greatest factor of 4668 is 4668.
3. What are the Factors of 4676?
Answer: Factors of 4676 are 1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676. There are 12 integers that are factors of 4676. The greatest factor of 4676 is 4676.
4. How to Find the GCF of 4668 and 4676?
Answer:
Greatest Common Factor of 4668 and 4676 = 4
Step 1: Find the prime factorization of 4668
4668 = 2 x 2 x 3 x 389
Step 2: Find the prime factorization of 4676
4676 = 2 x 2 x 7 x 167
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 4668 and 4676 is 4