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 321428, 321434 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 321428 and 321434 is 2.
GCF(321428,321434) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 321428
2 | 321428 |
2 | 160714 |
107 | 80357 |
751 | 751 |
1 |
Prime factors of 321428 are 2,107,751. Prime factorization of 321428 in exponential form is:
321428 = 22×1071×7511
Prime Factorization of 321434
2 | 321434 |
173 | 160717 |
929 | 929 |
1 |
Prime factors of 321434 are 2,173,929. Prime factorization of 321434 in exponential form is:
321434 = 21×1731×9291
∴ So by taking common prime factors GCF of 321428 and 321434 is 2
Factors of 321428
List of positive integer factors of 321428 that divides 321428 without a remainder.
1,2,4,107,214,428,751,1502,3004,80357,160714,321428
Factors of 321434
List of positive integer factors of 321434 that divides 321434 without a remainder.
1,2,173,346,929,1858,160717,321434
Greatest Common Factor
We found the factors and prime factorization of 321428 and 321434. The biggest common factor number is the GCF number.
So the greatest common factor 321428 and 321434 is 2.
Also check out the Least Common Multiple of 321428 and 321434
(i) The GCF of 321428 and 321434 is associative
GCF of 321428 and 321434 = GCF of 321434 and 321428
1. What is the GCF of 321428 and 321434?
Answer: GCF of 321428 and 321434 is 2.
2. What are the Factors of 321428?
Answer: Factors of 321428 are 1, 2, 4, 107, 214, 428, 751, 1502, 3004, 80357, 160714, 321428. There are 12 integers that are factors of 321428. The greatest factor of 321428 is 321428.
3. What are the Factors of 321434?
Answer: Factors of 321434 are 1, 2, 173, 346, 929, 1858, 160717, 321434. There are 8 integers that are factors of 321434. The greatest factor of 321434 is 321434.
4. How to Find the GCF of 321428 and 321434?
Answer:
Greatest Common Factor of 321428 and 321434 = 2
Step 1: Find the prime factorization of 321428
321428 = 2 x 2 x 107 x 751
Step 2: Find the prime factorization of 321434
321434 = 2 x 173 x 929
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 321428 and 321434 is 2