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 310426, 310430 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 310426 and 310430 is 2.
GCF(310426,310430) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 310426
2 | 310426 |
269 | 155213 |
577 | 577 |
1 |
Prime factors of 310426 are 2,269,577. Prime factorization of 310426 in exponential form is:
310426 = 21×2691×5771
Prime Factorization of 310430
2 | 310430 |
5 | 155215 |
37 | 31043 |
839 | 839 |
1 |
Prime factors of 310430 are 2,5,37,839. Prime factorization of 310430 in exponential form is:
310430 = 21×51×371×8391
∴ So by taking common prime factors GCF of 310426 and 310430 is 2
Factors of 310426
List of positive integer factors of 310426 that divides 310426 without a remainder.
1,2,269,538,577,1154,155213,310426
Factors of 310430
List of positive integer factors of 310430 that divides 310430 without a remainder.
1,2,5,10,37,74,185,370,839,1678,4195,8390,31043,62086,155215,310430
Greatest Common Factor
We found the factors and prime factorization of 310426 and 310430. The biggest common factor number is the GCF number.
So the greatest common factor 310426 and 310430 is 2.
Also check out the Least Common Multiple of 310426 and 310430
(i) The GCF of 310426 and 310430 is associative
GCF of 310426 and 310430 = GCF of 310430 and 310426
1. What is the GCF of 310426 and 310430?
Answer: GCF of 310426 and 310430 is 2.
2. What are the Factors of 310426?
Answer: Factors of 310426 are 1, 2, 269, 538, 577, 1154, 155213, 310426. There are 8 integers that are factors of 310426. The greatest factor of 310426 is 310426.
3. What are the Factors of 310430?
Answer: Factors of 310430 are 1, 2, 5, 10, 37, 74, 185, 370, 839, 1678, 4195, 8390, 31043, 62086, 155215, 310430. There are 16 integers that are factors of 310430. The greatest factor of 310430 is 310430.
4. How to Find the GCF of 310426 and 310430?
Answer:
Greatest Common Factor of 310426 and 310430 = 2
Step 1: Find the prime factorization of 310426
310426 = 2 x 269 x 577
Step 2: Find the prime factorization of 310430
310430 = 2 x 5 x 37 x 839
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 310426 and 310430 is 2