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 4301, 4302 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4301 and 4302 is 1.
GCF(4301,4302) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4301
11 | 4301 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 4301 are 11,17,23. Prime factorization of 4301 in exponential form is:
4301 = 111×171×231
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
∴ So by taking common prime factors GCF of 4301 and 4302 is 1
Factors of 4301
List of positive integer factors of 4301 that divides 4301 without a remainder.
1,11,17,23,187,253,391,4301
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
Greatest Common Factor
We found the factors and prime factorization of 4301 and 4302. The biggest common factor number is the GCF number.
So the greatest common factor 4301 and 4302 is 1.
Also check out the Least Common Multiple of 4301 and 4302
(i) The GCF of 4301 and 4302 is associative
GCF of 4301 and 4302 = GCF of 4302 and 4301
1. What is the GCF of 4301 and 4302?
Answer: GCF of 4301 and 4302 is 1.
2. What are the Factors of 4301?
Answer: Factors of 4301 are 1, 11, 17, 23, 187, 253, 391, 4301. There are 8 integers that are factors of 4301. The greatest factor of 4301 is 4301.
3. 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.
4. How to Find the GCF of 4301 and 4302?
Answer:
Greatest Common Factor of 4301 and 4302 = 1
Step 1: Find the prime factorization of 4301
4301 = 11 x 17 x 23
Step 2: Find the prime factorization of 4302
4302 = 2 x 3 x 3 x 239
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 4301 and 4302 is 1