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 306418, 306424 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 306418 and 306424 is 2.
GCF(306418,306424) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 306418
2 | 306418 |
7 | 153209 |
43 | 21887 |
509 | 509 |
1 |
Prime factors of 306418 are 2,7,43,509. Prime factorization of 306418 in exponential form is:
306418 = 21×71×431×5091
Prime Factorization of 306424
2 | 306424 |
2 | 153212 |
2 | 76606 |
38303 | 38303 |
1 |
Prime factors of 306424 are 2,38303. Prime factorization of 306424 in exponential form is:
306424 = 23×383031
∴ So by taking common prime factors GCF of 306418 and 306424 is 2
Factors of 306418
List of positive integer factors of 306418 that divides 306418 without a remainder.
1,2,7,14,43,86,301,509,602,1018,3563,7126,21887,43774,153209,306418
Factors of 306424
List of positive integer factors of 306424 that divides 306424 without a remainder.
1,2,4,8,38303,76606,153212,306424
Greatest Common Factor
We found the factors and prime factorization of 306418 and 306424. The biggest common factor number is the GCF number.
So the greatest common factor 306418 and 306424 is 2.
Also check out the Least Common Multiple of 306418 and 306424
(i) The GCF of 306418 and 306424 is associative
GCF of 306418 and 306424 = GCF of 306424 and 306418
1. What is the GCF of 306418 and 306424?
Answer: GCF of 306418 and 306424 is 2.
2. What are the Factors of 306418?
Answer: Factors of 306418 are 1, 2, 7, 14, 43, 86, 301, 509, 602, 1018, 3563, 7126, 21887, 43774, 153209, 306418. There are 16 integers that are factors of 306418. The greatest factor of 306418 is 306418.
3. What are the Factors of 306424?
Answer: Factors of 306424 are 1, 2, 4, 8, 38303, 76606, 153212, 306424. There are 8 integers that are factors of 306424. The greatest factor of 306424 is 306424.
4. How to Find the GCF of 306418 and 306424?
Answer:
Greatest Common Factor of 306418 and 306424 = 2
Step 1: Find the prime factorization of 306418
306418 = 2 x 7 x 43 x 509
Step 2: Find the prime factorization of 306424
306424 = 2 x 2 x 2 x 38303
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 306418 and 306424 is 2