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 10302, 10310 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10302 and 10310 is 2.
GCF(10302,10310) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10302
2 | 10302 |
3 | 5151 |
17 | 1717 |
101 | 101 |
1 |
Prime factors of 10302 are 2,3,17,101. Prime factorization of 10302 in exponential form is:
10302 = 21×31×171×1011
Prime Factorization of 10310
2 | 10310 |
5 | 5155 |
1031 | 1031 |
1 |
Prime factors of 10310 are 2,5,1031. Prime factorization of 10310 in exponential form is:
10310 = 21×51×10311
∴ So by taking common prime factors GCF of 10302 and 10310 is 2
Factors of 10302
List of positive integer factors of 10302 that divides 10302 without a remainder.
1,2,3,6,17,34,51,101,102,202,303,606,1717,3434,5151,10302
Factors of 10310
List of positive integer factors of 10310 that divides 10310 without a remainder.
1,2,5,10,1031,2062,5155,10310
Greatest Common Factor
We found the factors and prime factorization of 10302 and 10310. The biggest common factor number is the GCF number.
So the greatest common factor 10302 and 10310 is 2.
Also check out the Least Common Multiple of 10302 and 10310
(i) The GCF of 10302 and 10310 is associative
GCF of 10302 and 10310 = GCF of 10310 and 10302
1. What is the GCF of 10302 and 10310?
Answer: GCF of 10302 and 10310 is 2.
2. What are the Factors of 10302?
Answer: Factors of 10302 are 1, 2, 3, 6, 17, 34, 51, 101, 102, 202, 303, 606, 1717, 3434, 5151, 10302. There are 16 integers that are factors of 10302. The greatest factor of 10302 is 10302.
3. What are the Factors of 10310?
Answer: Factors of 10310 are 1, 2, 5, 10, 1031, 2062, 5155, 10310. There are 8 integers that are factors of 10310. The greatest factor of 10310 is 10310.
4. How to Find the GCF of 10302 and 10310?
Answer:
Greatest Common Factor of 10302 and 10310 = 2
Step 1: Find the prime factorization of 10302
10302 = 2 x 3 x 17 x 101
Step 2: Find the prime factorization of 10310
10310 = 2 x 5 x 1031
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 10302 and 10310 is 2