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 5310, 5316 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5310 and 5316 is 6.
GCF(5310,5316) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5310
2 | 5310 |
3 | 2655 |
3 | 885 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 5310 are 2,3,5,59. Prime factorization of 5310 in exponential form is:
5310 = 21×32×51×591
Prime Factorization of 5316
2 | 5316 |
2 | 2658 |
3 | 1329 |
443 | 443 |
1 |
Prime factors of 5316 are 2,3,443. Prime factorization of 5316 in exponential form is:
5316 = 22×31×4431
∴ So by taking common prime factors GCF of 5310 and 5316 is 6
Factors of 5310
List of positive integer factors of 5310 that divides 5310 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310
Factors of 5316
List of positive integer factors of 5316 that divides 5316 without a remainder.
1,2,3,4,6,12,443,886,1329,1772,2658,5316
Greatest Common Factor
We found the factors and prime factorization of 5310 and 5316. The biggest common factor number is the GCF number.
So the greatest common factor 5310 and 5316 is 6.
Also check out the Least Common Multiple of 5310 and 5316
(i) The GCF of 5310 and 5316 is associative
GCF of 5310 and 5316 = GCF of 5316 and 5310
1. What is the GCF of 5310 and 5316?
Answer: GCF of 5310 and 5316 is 6.
2. What are the Factors of 5310?
Answer: Factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310. There are 24 integers that are factors of 5310. The greatest factor of 5310 is 5310.
3. What are the Factors of 5316?
Answer: Factors of 5316 are 1, 2, 3, 4, 6, 12, 443, 886, 1329, 1772, 2658, 5316. There are 12 integers that are factors of 5316. The greatest factor of 5316 is 5316.
4. How to Find the GCF of 5310 and 5316?
Answer:
Greatest Common Factor of 5310 and 5316 = 6
Step 1: Find the prime factorization of 5310
5310 = 2 x 3 x 3 x 5 x 59
Step 2: Find the prime factorization of 5316
5316 = 2 x 2 x 3 x 443
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 5310 and 5316 is 6