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 5267, 5268 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5267 and 5268 is 1.
GCF(5267,5268) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5267
23 | 5267 |
229 | 229 |
1 |
Prime factors of 5267 are 23,229. Prime factorization of 5267 in exponential form is:
5267 = 231×2291
Prime Factorization of 5268
2 | 5268 |
2 | 2634 |
3 | 1317 |
439 | 439 |
1 |
Prime factors of 5268 are 2,3,439. Prime factorization of 5268 in exponential form is:
5268 = 22×31×4391
∴ So by taking common prime factors GCF of 5267 and 5268 is 1
Factors of 5267
List of positive integer factors of 5267 that divides 5267 without a remainder.
1,23,229,5267
Factors of 5268
List of positive integer factors of 5268 that divides 5268 without a remainder.
1,2,3,4,6,12,439,878,1317,1756,2634,5268
Greatest Common Factor
We found the factors and prime factorization of 5267 and 5268. The biggest common factor number is the GCF number.
So the greatest common factor 5267 and 5268 is 1.
Also check out the Least Common Multiple of 5267 and 5268
(i) The GCF of 5267 and 5268 is associative
GCF of 5267 and 5268 = GCF of 5268 and 5267
1. What is the GCF of 5267 and 5268?
Answer: GCF of 5267 and 5268 is 1.
2. What are the Factors of 5267?
Answer: Factors of 5267 are 1, 23, 229, 5267. There are 4 integers that are factors of 5267. The greatest factor of 5267 is 5267.
3. What are the Factors of 5268?
Answer: Factors of 5268 are 1, 2, 3, 4, 6, 12, 439, 878, 1317, 1756, 2634, 5268. There are 12 integers that are factors of 5268. The greatest factor of 5268 is 5268.
4. How to Find the GCF of 5267 and 5268?
Answer:
Greatest Common Factor of 5267 and 5268 = 1
Step 1: Find the prime factorization of 5267
5267 = 23 x 229
Step 2: Find the prime factorization of 5268
5268 = 2 x 2 x 3 x 439
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 5267 and 5268 is 1