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 4263, 4268 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4263 and 4268 is 1.
GCF(4263,4268) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4263
3 | 4263 |
7 | 1421 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 4263 are 3,7,29. Prime factorization of 4263 in exponential form is:
4263 = 31×72×291
Prime Factorization of 4268
2 | 4268 |
2 | 2134 |
11 | 1067 |
97 | 97 |
1 |
Prime factors of 4268 are 2,11,97. Prime factorization of 4268 in exponential form is:
4268 = 22×111×971
∴ So by taking common prime factors GCF of 4263 and 4268 is 1
Factors of 4263
List of positive integer factors of 4263 that divides 4263 without a remainder.
1,3,7,21,29,49,87,147,203,609,1421,4263
Factors of 4268
List of positive integer factors of 4268 that divides 4268 without a remainder.
1,2,4,11,22,44,97,194,388,1067,2134,4268
Greatest Common Factor
We found the factors and prime factorization of 4263 and 4268. The biggest common factor number is the GCF number.
So the greatest common factor 4263 and 4268 is 1.
Also check out the Least Common Multiple of 4263 and 4268
(i) The GCF of 4263 and 4268 is associative
GCF of 4263 and 4268 = GCF of 4268 and 4263
1. What is the GCF of 4263 and 4268?
Answer: GCF of 4263 and 4268 is 1.
2. What are the Factors of 4263?
Answer: Factors of 4263 are 1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263. There are 12 integers that are factors of 4263. The greatest factor of 4263 is 4263.
3. What are the Factors of 4268?
Answer: Factors of 4268 are 1, 2, 4, 11, 22, 44, 97, 194, 388, 1067, 2134, 4268. There are 12 integers that are factors of 4268. The greatest factor of 4268 is 4268.
4. How to Find the GCF of 4263 and 4268?
Answer:
Greatest Common Factor of 4263 and 4268 = 1
Step 1: Find the prime factorization of 4263
4263 = 3 x 7 x 7 x 29
Step 2: Find the prime factorization of 4268
4268 = 2 x 2 x 11 x 97
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 4263 and 4268 is 1