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 5302, 5310 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5302 and 5310 is 2.
GCF(5302,5310) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5302
2 | 5302 |
11 | 2651 |
241 | 241 |
1 |
Prime factors of 5302 are 2,11,241. Prime factorization of 5302 in exponential form is:
5302 = 21×111×2411
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
∴ So by taking common prime factors GCF of 5302 and 5310 is 2
Factors of 5302
List of positive integer factors of 5302 that divides 5302 without a remainder.
1,2,11,22,241,482,2651,5302
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
Greatest Common Factor
We found the factors and prime factorization of 5302 and 5310. The biggest common factor number is the GCF number.
So the greatest common factor 5302 and 5310 is 2.
Also check out the Least Common Multiple of 5302 and 5310
(i) The GCF of 5302 and 5310 is associative
GCF of 5302 and 5310 = GCF of 5310 and 5302
1. What is the GCF of 5302 and 5310?
Answer: GCF of 5302 and 5310 is 2.
2. What are the Factors of 5302?
Answer: Factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302. There are 8 integers that are factors of 5302. The greatest factor of 5302 is 5302.
3. 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.
4. How to Find the GCF of 5302 and 5310?
Answer:
Greatest Common Factor of 5302 and 5310 = 2
Step 1: Find the prime factorization of 5302
5302 = 2 x 11 x 241
Step 2: Find the prime factorization of 5310
5310 = 2 x 3 x 3 x 5 x 59
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 5302 and 5310 is 2