Greatest Common Factor of 321431 and 321438

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 321431, 321438 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 321431 and 321438 is 1.

GCF(321431,321438) = 1

GCF of 321431 and 321438

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

GCF of:
and

Greatest Common Factor of 321431 and 321438

GCF of 321431 and 321438 is 1

Prime Factorization of 321431


11 321431
29221 29221
1

Prime factors of 321431 are 11,29221. Prime factorization of 321431 in exponential form is:

321431 = 111×292211

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

∴ So by taking common prime factors GCF of 321431 and 321438 is 1

Greatest Common Factor of 321431 and 321438 by matching factors method

Factors of 321431

List of positive integer factors of 321431 that divides 321431 without a remainder.

1,11,29221,321431

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

Greatest Common Factor

We found the factors and prime factorization of 321431 and 321438. The biggest common factor number is the GCF number.
So the greatest common factor 321431 and 321438 is 1.

Also check out the Least Common Multiple of 321431 and 321438

Properties of GCF 321431 and 321438

(i) The GCF of 321431 and 321438 is associative

GCF of 321431 and 321438 = GCF of 321438 and 321431

Related Greatest Common Factor of 321431

Related Greatest Common Factor of 321438

Frequently Asked Questions on GCF of 321431 and 321438

1. What is the GCF of 321431 and 321438?

Answer: GCF of 321431 and 321438 is 1.

2. What are the Factors of 321431?

Answer: Factors of 321431 are 1, 11, 29221, 321431. There are 4 integers that are factors of 321431. The greatest factor of 321431 is 321431.

3. 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.

4. How to Find the GCF of 321431 and 321438?

Answer:

Greatest Common Factor of 321431 and 321438 = 1

Step 1: Find the prime factorization of 321431

321431 = 11 x 29221

Step 2: Find the prime factorization of 321438

321438 = 2 x 3 x 13 x 13 x 317

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 321431 and 321438 is 1