Greatest Common Factor of 321414 and 321420

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 321414, 321420 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 321414 and 321420 is 6.

GCF(321414,321420) = 6

GCF of 321414 and 321420

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

GCF of:
and

Greatest Common Factor of 321414 and 321420

GCF of 321414 and 321420 is 6

Prime Factorization of 321414


2 321414
3 160707
53569 53569
1

Prime factors of 321414 are 2,3,53569. Prime factorization of 321414 in exponential form is:

321414 = 21×31×535691

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

∴ So by taking common prime factors GCF of 321414 and 321420 is 6

Greatest Common Factor of 321414 and 321420 by matching factors method

Factors of 321414

List of positive integer factors of 321414 that divides 321414 without a remainder.

1,2,3,6,53569,107138,160707,321414

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

Greatest Common Factor

We found the factors and prime factorization of 321414 and 321420. The biggest common factor number is the GCF number.
So the greatest common factor 321414 and 321420 is 6.

Also check out the Least Common Multiple of 321414 and 321420

Properties of GCF 321414 and 321420

(i) The GCF of 321414 and 321420 is associative

GCF of 321414 and 321420 = GCF of 321420 and 321414

Related Greatest Common Factor of 321414

Related Greatest Common Factor of 321420

Frequently Asked Questions on GCF of 321414 and 321420

1. What is the GCF of 321414 and 321420?

Answer: GCF of 321414 and 321420 is 6.

2. What are the Factors of 321414?

Answer: Factors of 321414 are 1, 2, 3, 6, 53569, 107138, 160707, 321414. There are 8 integers that are factors of 321414. The greatest factor of 321414 is 321414.

3. 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.

4. How to Find the GCF of 321414 and 321420?

Answer:

Greatest Common Factor of 321414 and 321420 = 6

Step 1: Find the prime factorization of 321414

321414 = 2 x 3 x 53569

Step 2: Find the prime factorization of 321420

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 321414 and 321420 is 6