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 1310, 1315 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1310 and 1315 is 5.
GCF(1310,1315) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1310
2 | 1310 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 1310 are 2,5,131. Prime factorization of 1310 in exponential form is:
1310 = 21×51×1311
Prime Factorization of 1315
5 | 1315 |
263 | 263 |
1 |
Prime factors of 1315 are 5,263. Prime factorization of 1315 in exponential form is:
1315 = 51×2631
∴ So by taking common prime factors GCF of 1310 and 1315 is 5
Factors of 1310
List of positive integer factors of 1310 that divides 1310 without a remainder.
1,2,5,10,131,262,655,1310
Factors of 1315
List of positive integer factors of 1315 that divides 1315 without a remainder.
1,5,263,1315
Greatest Common Factor
We found the factors and prime factorization of 1310 and 1315. The biggest common factor number is the GCF number.
So the greatest common factor 1310 and 1315 is 5.
Also check out the Least Common Multiple of 1310 and 1315
(i) The GCF of 1310 and 1315 is associative
GCF of 1310 and 1315 = GCF of 1315 and 1310
1. What is the GCF of 1310 and 1315?
Answer: GCF of 1310 and 1315 is 5.
2. What are the Factors of 1310?
Answer: Factors of 1310 are 1, 2, 5, 10, 131, 262, 655, 1310. There are 8 integers that are factors of 1310. The greatest factor of 1310 is 1310.
3. What are the Factors of 1315?
Answer: Factors of 1315 are 1, 5, 263, 1315. There are 4 integers that are factors of 1315. The greatest factor of 1315 is 1315.
4. How to Find the GCF of 1310 and 1315?
Answer:
Greatest Common Factor of 1310 and 1315 = 5
Step 1: Find the prime factorization of 1310
1310 = 2 x 5 x 131
Step 2: Find the prime factorization of 1315
1315 = 5 x 263
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 1310 and 1315 is 5