Greatest Common Factor of 321438 and 321442

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 321438, 321442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 321438 and 321442 is 2.

GCF(321438,321442) = 2

GCF of 321438 and 321442

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

GCF of:
and

Greatest Common Factor of 321438 and 321442

GCF of 321438 and 321442 is 2

Prime Factorization of 321438


2 321438
3 160719
13 53573
13 4121
317 317
1

Prime factors of 321438 are 2,3,13,317. Prime factorization of 321438 in exponential form is:

321438 = 21×31×132×3171

Prime Factorization of 321442


2 321442
11 160721
19 14611
769 769
1

Prime factors of 321442 are 2,11,19,769. Prime factorization of 321442 in exponential form is:

321442 = 21×111×191×7691

∴ So by taking common prime factors GCF of 321438 and 321442 is 2

Greatest Common Factor of 321438 and 321442 by matching factors method

Factors of 321438

List of positive integer factors of 321438 that divides 321438 without a remainder.

1,2,3,6,13,26,39,78,169,317,338,507,634,951,1014,1902,4121,8242,12363,24726,53573,107146,160719,321438

Factors of 321442

List of positive integer factors of 321442 that divides 321442 without a remainder.

1,2,11,19,22,38,209,418,769,1538,8459,14611,16918,29222,160721,321442

Greatest Common Factor

We found the factors and prime factorization of 321438 and 321442. The biggest common factor number is the GCF number.
So the greatest common factor 321438 and 321442 is 2.

Also check out the Least Common Multiple of 321438 and 321442

Properties of GCF 321438 and 321442

(i) The GCF of 321438 and 321442 is associative

GCF of 321438 and 321442 = GCF of 321442 and 321438

Related Greatest Common Factor of 321438

Related Greatest Common Factor of 321442

Frequently Asked Questions on GCF of 321438 and 321442

1. What is the GCF of 321438 and 321442?

Answer: GCF of 321438 and 321442 is 2.

2. What are the Factors of 321438?

Answer: Factors of 321438 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 317, 338, 507, 634, 951, 1014, 1902, 4121, 8242, 12363, 24726, 53573, 107146, 160719, 321438. There are 24 integers that are factors of 321438. The greatest factor of 321438 is 321438.

3. What are the Factors of 321442?

Answer: Factors of 321442 are 1, 2, 11, 19, 22, 38, 209, 418, 769, 1538, 8459, 14611, 16918, 29222, 160721, 321442. There are 16 integers that are factors of 321442. The greatest factor of 321442 is 321442.

4. How to Find the GCF of 321438 and 321442?

Answer:

Greatest Common Factor of 321438 and 321442 = 2

Step 1: Find the prime factorization of 321438

321438 = 2 x 3 x 13 x 13 x 317

Step 2: Find the prime factorization of 321442

321442 = 2 x 11 x 19 x 769

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 321438 and 321442 is 2