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 306426, 306434 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 306426 and 306434 is 2.
GCF(306426,306434) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 306426
2 | 306426 |
3 | 153213 |
51071 | 51071 |
1 |
Prime factors of 306426 are 2,3,51071. Prime factorization of 306426 in exponential form is:
306426 = 21×31×510711
Prime Factorization of 306434
2 | 306434 |
37 | 153217 |
41 | 4141 |
101 | 101 |
1 |
Prime factors of 306434 are 2,37,41,101. Prime factorization of 306434 in exponential form is:
306434 = 21×371×411×1011
∴ So by taking common prime factors GCF of 306426 and 306434 is 2
Factors of 306426
List of positive integer factors of 306426 that divides 306426 without a remainder.
1,2,3,6,51071,102142,153213,306426
Factors of 306434
List of positive integer factors of 306434 that divides 306434 without a remainder.
1,2,37,41,74,82,101,202,1517,3034,3737,4141,7474,8282,153217,306434
Greatest Common Factor
We found the factors and prime factorization of 306426 and 306434. The biggest common factor number is the GCF number.
So the greatest common factor 306426 and 306434 is 2.
Also check out the Least Common Multiple of 306426 and 306434
(i) The GCF of 306426 and 306434 is associative
GCF of 306426 and 306434 = GCF of 306434 and 306426
1. What is the GCF of 306426 and 306434?
Answer: GCF of 306426 and 306434 is 2.
2. What are the Factors of 306426?
Answer: Factors of 306426 are 1, 2, 3, 6, 51071, 102142, 153213, 306426. There are 8 integers that are factors of 306426. The greatest factor of 306426 is 306426.
3. What are the Factors of 306434?
Answer: Factors of 306434 are 1, 2, 37, 41, 74, 82, 101, 202, 1517, 3034, 3737, 4141, 7474, 8282, 153217, 306434. There are 16 integers that are factors of 306434. The greatest factor of 306434 is 306434.
4. How to Find the GCF of 306426 and 306434?
Answer:
Greatest Common Factor of 306426 and 306434 = 2
Step 1: Find the prime factorization of 306426
306426 = 2 x 3 x 51071
Step 2: Find the prime factorization of 306434
306434 = 2 x 37 x 41 x 101
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 306426 and 306434 is 2