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 4302, 4308 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4302 and 4308 is 6.
GCF(4302,4308) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4302
2 | 4302 |
3 | 2151 |
3 | 717 |
239 | 239 |
1 |
Prime factors of 4302 are 2,3,239. Prime factorization of 4302 in exponential form is:
4302 = 21×32×2391
Prime Factorization of 4308
2 | 4308 |
2 | 2154 |
3 | 1077 |
359 | 359 |
1 |
Prime factors of 4308 are 2,3,359. Prime factorization of 4308 in exponential form is:
4308 = 22×31×3591
∴ So by taking common prime factors GCF of 4302 and 4308 is 6
Factors of 4302
List of positive integer factors of 4302 that divides 4302 without a remainder.
1,2,3,6,9,18,239,478,717,1434,2151,4302
Factors of 4308
List of positive integer factors of 4308 that divides 4308 without a remainder.
1,2,3,4,6,12,359,718,1077,1436,2154,4308
Greatest Common Factor
We found the factors and prime factorization of 4302 and 4308. The biggest common factor number is the GCF number.
So the greatest common factor 4302 and 4308 is 6.
Also check out the Least Common Multiple of 4302 and 4308
(i) The GCF of 4302 and 4308 is associative
GCF of 4302 and 4308 = GCF of 4308 and 4302
1. What is the GCF of 4302 and 4308?
Answer: GCF of 4302 and 4308 is 6.
2. What are the Factors of 4302?
Answer: Factors of 4302 are 1, 2, 3, 6, 9, 18, 239, 478, 717, 1434, 2151, 4302. There are 12 integers that are factors of 4302. The greatest factor of 4302 is 4302.
3. What are the Factors of 4308?
Answer: Factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308. There are 12 integers that are factors of 4308. The greatest factor of 4308 is 4308.
4. How to Find the GCF of 4302 and 4308?
Answer:
Greatest Common Factor of 4302 and 4308 = 6
Step 1: Find the prime factorization of 4302
4302 = 2 x 3 x 3 x 239
Step 2: Find the prime factorization of 4308
4308 = 2 x 2 x 3 x 359
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 4302 and 4308 is 6