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 310434, 310438 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 310434 and 310438 is 2.
GCF(310434,310438) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 310434
2 | 310434 |
3 | 155217 |
31 | 51739 |
1669 | 1669 |
1 |
Prime factors of 310434 are 2,3,31,1669. Prime factorization of 310434 in exponential form is:
310434 = 21×31×311×16691
Prime Factorization of 310438
2 | 310438 |
155219 | 155219 |
1 |
Prime factors of 310438 are 2,155219. Prime factorization of 310438 in exponential form is:
310438 = 21×1552191
∴ So by taking common prime factors GCF of 310434 and 310438 is 2
Factors of 310434
List of positive integer factors of 310434 that divides 310434 without a remainder.
1,2,3,6,31,62,93,186,1669,3338,5007,10014,51739,103478,155217,310434
Factors of 310438
List of positive integer factors of 310438 that divides 310438 without a remainder.
1,2,155219,310438
Greatest Common Factor
We found the factors and prime factorization of 310434 and 310438. The biggest common factor number is the GCF number.
So the greatest common factor 310434 and 310438 is 2.
Also check out the Least Common Multiple of 310434 and 310438
(i) The GCF of 310434 and 310438 is associative
GCF of 310434 and 310438 = GCF of 310438 and 310434
1. What is the GCF of 310434 and 310438?
Answer: GCF of 310434 and 310438 is 2.
2. What are the Factors of 310434?
Answer: Factors of 310434 are 1, 2, 3, 6, 31, 62, 93, 186, 1669, 3338, 5007, 10014, 51739, 103478, 155217, 310434. There are 16 integers that are factors of 310434. The greatest factor of 310434 is 310434.
3. What are the Factors of 310438?
Answer: Factors of 310438 are 1, 2, 155219, 310438. There are 4 integers that are factors of 310438. The greatest factor of 310438 is 310438.
4. How to Find the GCF of 310434 and 310438?
Answer:
Greatest Common Factor of 310434 and 310438 = 2
Step 1: Find the prime factorization of 310434
310434 = 2 x 3 x 31 x 1669
Step 2: Find the prime factorization of 310438
310438 = 2 x 155219
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 310434 and 310438 is 2