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 4296, 4301 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4296 and 4301 is 1.
GCF(4296,4301) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4296
2 | 4296 |
2 | 2148 |
2 | 1074 |
3 | 537 |
179 | 179 |
1 |
Prime factors of 4296 are 2,3,179. Prime factorization of 4296 in exponential form is:
4296 = 23×31×1791
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
∴ So by taking common prime factors GCF of 4296 and 4301 is 1
Factors of 4296
List of positive integer factors of 4296 that divides 4296 without a remainder.
1,2,3,4,6,8,12,24,179,358,537,716,1074,1432,2148,4296
Factors of 4301
List of positive integer factors of 4301 that divides 4301 without a remainder.
1,11,17,23,187,253,391,4301
Greatest Common Factor
We found the factors and prime factorization of 4296 and 4301. The biggest common factor number is the GCF number.
So the greatest common factor 4296 and 4301 is 1.
Also check out the Least Common Multiple of 4296 and 4301
(i) The GCF of 4296 and 4301 is associative
GCF of 4296 and 4301 = GCF of 4301 and 4296
1. What is the GCF of 4296 and 4301?
Answer: GCF of 4296 and 4301 is 1.
2. What are the Factors of 4296?
Answer: Factors of 4296 are 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148, 4296. There are 16 integers that are factors of 4296. The greatest factor of 4296 is 4296.
3. 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.
4. How to Find the GCF of 4296 and 4301?
Answer:
Greatest Common Factor of 4296 and 4301 = 1
Step 1: Find the prime factorization of 4296
4296 = 2 x 2 x 2 x 3 x 179
Step 2: Find the prime factorization of 4301
4301 = 11 x 17 x 23
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 4296 and 4301 is 1