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 5300, 5304 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5300 and 5304 is 4.
GCF(5300,5304) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5300
2 | 5300 |
2 | 2650 |
5 | 1325 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 5300 are 2,5,53. Prime factorization of 5300 in exponential form is:
5300 = 22×52×531
Prime Factorization of 5304
2 | 5304 |
2 | 2652 |
2 | 1326 |
3 | 663 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 5304 are 2,3,13,17. Prime factorization of 5304 in exponential form is:
5304 = 23×31×131×171
∴ So by taking common prime factors GCF of 5300 and 5304 is 4
Factors of 5300
List of positive integer factors of 5300 that divides 5300 without a remainder.
1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300
Factors of 5304
List of positive integer factors of 5304 that divides 5304 without a remainder.
1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Greatest Common Factor
We found the factors and prime factorization of 5300 and 5304. The biggest common factor number is the GCF number.
So the greatest common factor 5300 and 5304 is 4.
Also check out the Least Common Multiple of 5300 and 5304
(i) The GCF of 5300 and 5304 is associative
GCF of 5300 and 5304 = GCF of 5304 and 5300
1. What is the GCF of 5300 and 5304?
Answer: GCF of 5300 and 5304 is 4.
2. What are the Factors of 5300?
Answer: Factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300. There are 18 integers that are factors of 5300. The greatest factor of 5300 is 5300.
3. What are the Factors of 5304?
Answer: Factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304. There are 32 integers that are factors of 5304. The greatest factor of 5304 is 5304.
4. How to Find the GCF of 5300 and 5304?
Answer:
Greatest Common Factor of 5300 and 5304 = 4
Step 1: Find the prime factorization of 5300
5300 = 2 x 2 x 5 x 5 x 53
Step 2: Find the prime factorization of 5304
5304 = 2 x 2 x 2 x 3 x 13 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 5300 and 5304 is 4