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 7310, 7312 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7310 and 7312 is 2.
GCF(7310,7312) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7310
2 | 7310 |
5 | 3655 |
17 | 731 |
43 | 43 |
1 |
Prime factors of 7310 are 2,5,17,43. Prime factorization of 7310 in exponential form is:
7310 = 21×51×171×431
Prime Factorization of 7312
2 | 7312 |
2 | 3656 |
2 | 1828 |
2 | 914 |
457 | 457 |
1 |
Prime factors of 7312 are 2,457. Prime factorization of 7312 in exponential form is:
7312 = 24×4571
∴ So by taking common prime factors GCF of 7310 and 7312 is 2
Factors of 7310
List of positive integer factors of 7310 that divides 7310 without a remainder.
1,2,5,10,17,34,43,85,86,170,215,430,731,1462,3655,7310
Factors of 7312
List of positive integer factors of 7312 that divides 7312 without a remainder.
1,2,4,8,16,457,914,1828,3656,7312
Greatest Common Factor
We found the factors and prime factorization of 7310 and 7312. The biggest common factor number is the GCF number.
So the greatest common factor 7310 and 7312 is 2.
Also check out the Least Common Multiple of 7310 and 7312
(i) The GCF of 7310 and 7312 is associative
GCF of 7310 and 7312 = GCF of 7312 and 7310
1. What is the GCF of 7310 and 7312?
Answer: GCF of 7310 and 7312 is 2.
2. What are the Factors of 7310?
Answer: Factors of 7310 are 1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310. There are 16 integers that are factors of 7310. The greatest factor of 7310 is 7310.
3. What are the Factors of 7312?
Answer: Factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312. There are 10 integers that are factors of 7312. The greatest factor of 7312 is 7312.
4. How to Find the GCF of 7310 and 7312?
Answer:
Greatest Common Factor of 7310 and 7312 = 2
Step 1: Find the prime factorization of 7310
7310 = 2 x 5 x 17 x 43
Step 2: Find the prime factorization of 7312
7312 = 2 x 2 x 2 x 2 x 457
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 7310 and 7312 is 2