Greatest Common Factor of 321471 and 321477

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 321471, 321477 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 321471 and 321477 is 3.

GCF(321471,321477) = 3

GCF of 321471 and 321477

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

GCF of:
and

Greatest Common Factor of 321471 and 321477

GCF of 321471 and 321477 is 3

Prime Factorization of 321471


3 321471
3 107157
23 35719
1553 1553
1

Prime factors of 321471 are 3,23,1553. Prime factorization of 321471 in exponential form is:

321471 = 32×231×15531

Prime Factorization of 321477


3 321477
13 107159
8243 8243
1

Prime factors of 321477 are 3,13,8243. Prime factorization of 321477 in exponential form is:

321477 = 31×131×82431

∴ So by taking common prime factors GCF of 321471 and 321477 is 3

Greatest Common Factor of 321471 and 321477 by matching factors method

Factors of 321471

List of positive integer factors of 321471 that divides 321471 without a remainder.

1,3,9,23,69,207,1553,4659,13977,35719,107157,321471

Factors of 321477

List of positive integer factors of 321477 that divides 321477 without a remainder.

1,3,13,39,8243,24729,107159,321477

Greatest Common Factor

We found the factors and prime factorization of 321471 and 321477. The biggest common factor number is the GCF number.
So the greatest common factor 321471 and 321477 is 3.

Also check out the Least Common Multiple of 321471 and 321477

Properties of GCF 321471 and 321477

(i) The GCF of 321471 and 321477 is associative

GCF of 321471 and 321477 = GCF of 321477 and 321471

Frequently Asked Questions on GCF of 321471 and 321477

1. What is the GCF of 321471 and 321477?

Answer: GCF of 321471 and 321477 is 3.

2. What are the Factors of 321471?

Answer: Factors of 321471 are 1, 3, 9, 23, 69, 207, 1553, 4659, 13977, 35719, 107157, 321471. There are 12 integers that are factors of 321471. The greatest factor of 321471 is 321471.

3. What are the Factors of 321477?

Answer: Factors of 321477 are 1, 3, 13, 39, 8243, 24729, 107159, 321477. There are 8 integers that are factors of 321477. The greatest factor of 321477 is 321477.

4. How to Find the GCF of 321471 and 321477?

Answer:

Greatest Common Factor of 321471 and 321477 = 3

Step 1: Find the prime factorization of 321471

321471 = 3 x 3 x 23 x 1553

Step 2: Find the prime factorization of 321477

321477 = 3 x 13 x 8243

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

GCF = 3

Step 4: Therefore, the greatest common factor of 321471 and 321477 is 3