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 4324, 4330 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4324 and 4330 is 2.
GCF(4324,4330) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4324
2 | 4324 |
2 | 2162 |
23 | 1081 |
47 | 47 |
1 |
Prime factors of 4324 are 2,23,47. Prime factorization of 4324 in exponential form is:
4324 = 22×231×471
Prime Factorization of 4330
2 | 4330 |
5 | 2165 |
433 | 433 |
1 |
Prime factors of 4330 are 2,5,433. Prime factorization of 4330 in exponential form is:
4330 = 21×51×4331
∴ So by taking common prime factors GCF of 4324 and 4330 is 2
Factors of 4324
List of positive integer factors of 4324 that divides 4324 without a remainder.
1,2,4,23,46,47,92,94,188,1081,2162,4324
Factors of 4330
List of positive integer factors of 4330 that divides 4330 without a remainder.
1,2,5,10,433,866,2165,4330
Greatest Common Factor
We found the factors and prime factorization of 4324 and 4330. The biggest common factor number is the GCF number.
So the greatest common factor 4324 and 4330 is 2.
Also check out the Least Common Multiple of 4324 and 4330
(i) The GCF of 4324 and 4330 is associative
GCF of 4324 and 4330 = GCF of 4330 and 4324
1. What is the GCF of 4324 and 4330?
Answer: GCF of 4324 and 4330 is 2.
2. What are the Factors of 4324?
Answer: Factors of 4324 are 1, 2, 4, 23, 46, 47, 92, 94, 188, 1081, 2162, 4324. There are 12 integers that are factors of 4324. The greatest factor of 4324 is 4324.
3. What are the Factors of 4330?
Answer: Factors of 4330 are 1, 2, 5, 10, 433, 866, 2165, 4330. There are 8 integers that are factors of 4330. The greatest factor of 4330 is 4330.
4. How to Find the GCF of 4324 and 4330?
Answer:
Greatest Common Factor of 4324 and 4330 = 2
Step 1: Find the prime factorization of 4324
4324 = 2 x 2 x 23 x 47
Step 2: Find the prime factorization of 4330
4330 = 2 x 5 x 433
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 4324 and 4330 is 2