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, 5252 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5247 and 5252 is 1.
GCF(5247,5252) = 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 5252
2 | 5252 |
2 | 2626 |
13 | 1313 |
101 | 101 |
1 |
Prime factors of 5252 are 2,13,101. Prime factorization of 5252 in exponential form is:
5252 = 22×131×1011
∴ So by taking common prime factors GCF of 5247 and 5252 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 5252
List of positive integer factors of 5252 that divides 5252 without a remainder.
1,2,4,13,26,52,101,202,404,1313,2626,5252
Greatest Common Factor
We found the factors and prime factorization of 5247 and 5252. The biggest common factor number is the GCF number.
So the greatest common factor 5247 and 5252 is 1.
Also check out the Least Common Multiple of 5247 and 5252
(i) The GCF of 5247 and 5252 is associative
GCF of 5247 and 5252 = GCF of 5252 and 5247
1. What is the GCF of 5247 and 5252?
Answer: GCF of 5247 and 5252 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 5252?
Answer: Factors of 5252 are 1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252. There are 12 integers that are factors of 5252. The greatest factor of 5252 is 5252.
4. How to Find the GCF of 5247 and 5252?
Answer:
Greatest Common Factor of 5247 and 5252 = 1
Step 1: Find the prime factorization of 5247
5247 = 3 x 3 x 11 x 53
Step 2: Find the prime factorization of 5252
5252 = 2 x 2 x 13 x 101
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 5252 is 1