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 5247, 5248 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5247 and 5248 is 1.
GCF(5247,5248) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5247
3 | 5247 |
3 | 1749 |
11 | 583 |
53 | 53 |
1 |
Prime factors of 5247 are 3,11,53. Prime factorization of 5247 in exponential form is:
5247 = 32×111×531
Prime Factorization of 5248
2 | 5248 |
2 | 2624 |
2 | 1312 |
2 | 656 |
2 | 328 |
2 | 164 |
2 | 82 |
41 | 41 |
1 |
Prime factors of 5248 are 2,41. Prime factorization of 5248 in exponential form is:
5248 = 27×411
∴ So by taking common prime factors GCF of 5247 and 5248 is 1
Factors of 5247
List of positive integer factors of 5247 that divides 5247 without a remainder.
1,3,9,11,33,53,99,159,477,583,1749,5247
Factors of 5248
List of positive integer factors of 5248 that divides 5248 without a remainder.
1,2,4,8,16,32,41,64,82,128,164,328,656,1312,2624,5248
Greatest Common Factor
We found the factors and prime factorization of 5247 and 5248. The biggest common factor number is the GCF number.
So the greatest common factor 5247 and 5248 is 1.
Also check out the Least Common Multiple of 5247 and 5248
(i) The GCF of 5247 and 5248 is associative
GCF of 5247 and 5248 = GCF of 5248 and 5247
1. What is the GCF of 5247 and 5248?
Answer: GCF of 5247 and 5248 is 1.
2. What are the Factors of 5247?
Answer: Factors of 5247 are 1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247. There are 12 integers that are factors of 5247. The greatest factor of 5247 is 5247.
3. What are the Factors of 5248?
Answer: Factors of 5248 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 328, 656, 1312, 2624, 5248. There are 16 integers that are factors of 5248. The greatest factor of 5248 is 5248.
4. How to Find the GCF of 5247 and 5248?
Answer:
Greatest Common Factor of 5247 and 5248 = 1
Step 1: Find the prime factorization of 5247
5247 = 3 x 3 x 11 x 53
Step 2: Find the prime factorization of 5248
5248 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 41
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 5247 and 5248 is 1