Greatest Common Factor of 321420 and 321428

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 321420, 321428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 321420 and 321428 is 4.

GCF(321420,321428) = 4

GCF of 321420 and 321428

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

GCF of:
and

Greatest Common Factor of 321420 and 321428

GCF of 321420 and 321428 is 4

Prime Factorization of 321420


2 321420
2 160710
3 80355
5 26785
11 5357
487 487
1

Prime factors of 321420 are 2,3,5,11,487. Prime factorization of 321420 in exponential form is:

321420 = 22×31×51×111×4871

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

∴ So by taking common prime factors GCF of 321420 and 321428 is 4

Greatest Common Factor of 321420 and 321428 by matching factors method

Factors of 321420

List of positive integer factors of 321420 that divides 321420 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,487,660,974,1461,1948,2435,2922,4870,5357,5844,7305,9740,10714,14610,16071,21428,26785,29220,32142,53570,64284,80355,107140,160710,321420

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

Greatest Common Factor

We found the factors and prime factorization of 321420 and 321428. The biggest common factor number is the GCF number.
So the greatest common factor 321420 and 321428 is 4.

Also check out the Least Common Multiple of 321420 and 321428

Properties of GCF 321420 and 321428

(i) The GCF of 321420 and 321428 is associative

GCF of 321420 and 321428 = GCF of 321428 and 321420

Related Greatest Common Factor of 321420

Related Greatest Common Factor of 321428

Frequently Asked Questions on GCF of 321420 and 321428

1. What is the GCF of 321420 and 321428?

Answer: GCF of 321420 and 321428 is 4.

2. What are the Factors of 321420?

Answer: Factors of 321420 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 487, 660, 974, 1461, 1948, 2435, 2922, 4870, 5357, 5844, 7305, 9740, 10714, 14610, 16071, 21428, 26785, 29220, 32142, 53570, 64284, 80355, 107140, 160710, 321420. There are 48 integers that are factors of 321420. The greatest factor of 321420 is 321420.

3. 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.

4. How to Find the GCF of 321420 and 321428?

Answer:

Greatest Common Factor of 321420 and 321428 = 4

Step 1: Find the prime factorization of 321420

321420 = 2 x 2 x 3 x 5 x 11 x 487

Step 2: Find the prime factorization of 321428

321428 = 2 x 2 x 107 x 751

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 321420 and 321428 is 4