Greatest Common Factor of 321428 and 321434

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

GCF of 321428 and 321434

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 321428 and 321434

GCF of 321428 and 321434 is 2

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

Greatest Common Factor of 321428 and 321434 by matching factors method

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

Properties of GCF 321428 and 321434

(i) The GCF of 321428 and 321434 is associative

GCF of 321428 and 321434 = GCF of 321434 and 321428

Frequently Asked Questions on GCF of 321428 and 321434

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