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 306429, 306435 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 306429 and 306435 is 3.
GCF(306429,306435) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 306429
3 | 306429 |
23 | 102143 |
4441 | 4441 |
1 |
Prime factors of 306429 are 3,23,4441. Prime factorization of 306429 in exponential form is:
306429 = 31×231×44411
Prime Factorization of 306435
3 | 306435 |
5 | 102145 |
31 | 20429 |
659 | 659 |
1 |
Prime factors of 306435 are 3,5,31,659. Prime factorization of 306435 in exponential form is:
306435 = 31×51×311×6591
∴ So by taking common prime factors GCF of 306429 and 306435 is 3
Factors of 306429
List of positive integer factors of 306429 that divides 306429 without a remainder.
1,3,23,69,4441,13323,102143,306429
Factors of 306435
List of positive integer factors of 306435 that divides 306435 without a remainder.
1,3,5,15,31,93,155,465,659,1977,3295,9885,20429,61287,102145,306435
Greatest Common Factor
We found the factors and prime factorization of 306429 and 306435. The biggest common factor number is the GCF number.
So the greatest common factor 306429 and 306435 is 3.
Also check out the Least Common Multiple of 306429 and 306435
(i) The GCF of 306429 and 306435 is associative
GCF of 306429 and 306435 = GCF of 306435 and 306429
1. What is the GCF of 306429 and 306435?
Answer: GCF of 306429 and 306435 is 3.
2. What are the Factors of 306429?
Answer: Factors of 306429 are 1, 3, 23, 69, 4441, 13323, 102143, 306429. There are 8 integers that are factors of 306429. The greatest factor of 306429 is 306429.
3. What are the Factors of 306435?
Answer: Factors of 306435 are 1, 3, 5, 15, 31, 93, 155, 465, 659, 1977, 3295, 9885, 20429, 61287, 102145, 306435. There are 16 integers that are factors of 306435. The greatest factor of 306435 is 306435.
4. How to Find the GCF of 306429 and 306435?
Answer:
Greatest Common Factor of 306429 and 306435 = 3
Step 1: Find the prime factorization of 306429
306429 = 3 x 23 x 4441
Step 2: Find the prime factorization of 306435
306435 = 3 x 5 x 31 x 659
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 306429 and 306435 is 3