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 5243, 5247 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5243 and 5247 is 1.
GCF(5243,5247) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5243
7 | 5243 |
7 | 749 |
107 | 107 |
1 |
Prime factors of 5243 are 7,107. Prime factorization of 5243 in exponential form is:
5243 = 72×1071
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
∴ So by taking common prime factors GCF of 5243 and 5247 is 1
Factors of 5243
List of positive integer factors of 5243 that divides 5243 without a remainder.
1,7,49,107,749,5243
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
Greatest Common Factor
We found the factors and prime factorization of 5243 and 5247. The biggest common factor number is the GCF number.
So the greatest common factor 5243 and 5247 is 1.
Also check out the Least Common Multiple of 5243 and 5247
(i) The GCF of 5243 and 5247 is associative
GCF of 5243 and 5247 = GCF of 5247 and 5243
1. What is the GCF of 5243 and 5247?
Answer: GCF of 5243 and 5247 is 1.
2. What are the Factors of 5243?
Answer: Factors of 5243 are 1, 7, 49, 107, 749, 5243. There are 6 integers that are factors of 5243. The greatest factor of 5243 is 5243.
3. 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.
4. How to Find the GCF of 5243 and 5247?
Answer:
Greatest Common Factor of 5243 and 5247 = 1
Step 1: Find the prime factorization of 5243
5243 = 7 x 7 x 107
Step 2: Find the prime factorization of 5247
5247 = 3 x 3 x 11 x 53
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 5243 and 5247 is 1