Greatest Common Factor of 321424 and 321429

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 321424, 321429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 321424 and 321429 is 1.

GCF(321424,321429) = 1

GCF of 321424 and 321429

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

GCF of:
and

Greatest Common Factor of 321424 and 321429

GCF of 321424 and 321429 is 1

Prime Factorization of 321424


2 321424
2 160712
2 80356
2 40178
20089 20089
1

Prime factors of 321424 are 2,20089. Prime factorization of 321424 in exponential form is:

321424 = 24×200891

Prime Factorization of 321429


3 321429
307 107143
349 349
1

Prime factors of 321429 are 3,307,349. Prime factorization of 321429 in exponential form is:

321429 = 31×3071×3491

∴ So by taking common prime factors GCF of 321424 and 321429 is 1

Greatest Common Factor of 321424 and 321429 by matching factors method

Factors of 321424

List of positive integer factors of 321424 that divides 321424 without a remainder.

1,2,4,8,16,20089,40178,80356,160712,321424

Factors of 321429

List of positive integer factors of 321429 that divides 321429 without a remainder.

1,3,307,349,921,1047,107143,321429

Greatest Common Factor

We found the factors and prime factorization of 321424 and 321429. The biggest common factor number is the GCF number.
So the greatest common factor 321424 and 321429 is 1.

Also check out the Least Common Multiple of 321424 and 321429

Properties of GCF 321424 and 321429

(i) The GCF of 321424 and 321429 is associative

GCF of 321424 and 321429 = GCF of 321429 and 321424

Frequently Asked Questions on GCF of 321424 and 321429

1. What is the GCF of 321424 and 321429?

Answer: GCF of 321424 and 321429 is 1.

2. What are the Factors of 321424?

Answer: Factors of 321424 are 1, 2, 4, 8, 16, 20089, 40178, 80356, 160712, 321424. There are 10 integers that are factors of 321424. The greatest factor of 321424 is 321424.

3. What are the Factors of 321429?

Answer: Factors of 321429 are 1, 3, 307, 349, 921, 1047, 107143, 321429. There are 8 integers that are factors of 321429. The greatest factor of 321429 is 321429.

4. How to Find the GCF of 321424 and 321429?

Answer:

Greatest Common Factor of 321424 and 321429 = 1

Step 1: Find the prime factorization of 321424

321424 = 2 x 2 x 2 x 2 x 20089

Step 2: Find the prime factorization of 321429

321429 = 3 x 307 x 349

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 321424 and 321429 is 1