Greatest Common Factor of 321472 and 321476

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 321472, 321476 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 321472 and 321476 is 4.

GCF(321472,321476) = 4

GCF of 321472 and 321476

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

GCF of:
and

Greatest Common Factor of 321472 and 321476

GCF of 321472 and 321476 is 4

Prime Factorization of 321472


2 321472
2 160736
2 80368
2 40184
2 20092
2 10046
5023 5023
1

Prime factors of 321472 are 2,5023. Prime factorization of 321472 in exponential form is:

321472 = 26×50231

Prime Factorization of 321476


2 321476
2 160738
80369 80369
1

Prime factors of 321476 are 2,80369. Prime factorization of 321476 in exponential form is:

321476 = 22×803691

∴ So by taking common prime factors GCF of 321472 and 321476 is 4

Greatest Common Factor of 321472 and 321476 by matching factors method

Factors of 321472

List of positive integer factors of 321472 that divides 321472 without a remainder.

1,2,4,8,16,32,64,5023,10046,20092,40184,80368,160736,321472

Factors of 321476

List of positive integer factors of 321476 that divides 321476 without a remainder.

1,2,4,80369,160738,321476

Greatest Common Factor

We found the factors and prime factorization of 321472 and 321476. The biggest common factor number is the GCF number.
So the greatest common factor 321472 and 321476 is 4.

Also check out the Least Common Multiple of 321472 and 321476

Properties of GCF 321472 and 321476

(i) The GCF of 321472 and 321476 is associative

GCF of 321472 and 321476 = GCF of 321476 and 321472

Related Greatest Common Factor of 321472

Related Greatest Common Factor of 321476

Frequently Asked Questions on GCF of 321472 and 321476

1. What is the GCF of 321472 and 321476?

Answer: GCF of 321472 and 321476 is 4.

2. What are the Factors of 321472?

Answer: Factors of 321472 are 1, 2, 4, 8, 16, 32, 64, 5023, 10046, 20092, 40184, 80368, 160736, 321472. There are 14 integers that are factors of 321472. The greatest factor of 321472 is 321472.

3. What are the Factors of 321476?

Answer: Factors of 321476 are 1, 2, 4, 80369, 160738, 321476. There are 6 integers that are factors of 321476. The greatest factor of 321476 is 321476.

4. How to Find the GCF of 321472 and 321476?

Answer:

Greatest Common Factor of 321472 and 321476 = 4

Step 1: Find the prime factorization of 321472

321472 = 2 x 2 x 2 x 2 x 2 x 2 x 5023

Step 2: Find the prime factorization of 321476

321476 = 2 x 2 x 80369

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 321472 and 321476 is 4