Greatest Common Factor of 321460 and 321468

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 321460, 321468 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 321460 and 321468 is 4.

GCF(321460,321468) = 4

GCF of 321460 and 321468

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

GCF of:
and

Greatest Common Factor of 321460 and 321468

GCF of 321460 and 321468 is 4

Prime Factorization of 321460


2 321460
2 160730
5 80365
16073 16073
1

Prime factors of 321460 are 2,5,16073. Prime factorization of 321460 in exponential form is:

321460 = 22×51×160731

Prime Factorization of 321468


2 321468
2 160734
3 80367
7 26789
43 3827
89 89
1

Prime factors of 321468 are 2,3,7,43,89. Prime factorization of 321468 in exponential form is:

321468 = 22×31×71×431×891

∴ So by taking common prime factors GCF of 321460 and 321468 is 4

Greatest Common Factor of 321460 and 321468 by matching factors method

Factors of 321460

List of positive integer factors of 321460 that divides 321460 without a remainder.

1,2,4,5,10,20,16073,32146,64292,80365,160730,321460

Factors of 321468

List of positive integer factors of 321468 that divides 321468 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,43,84,86,89,129,172,178,258,267,301,356,516,534,602,623,903,1068,1204,1246,1806,1869,2492,3612,3738,3827,7476,7654,11481,15308,22962,26789,45924,53578,80367,107156,160734,321468

Greatest Common Factor

We found the factors and prime factorization of 321460 and 321468. The biggest common factor number is the GCF number.
So the greatest common factor 321460 and 321468 is 4.

Also check out the Least Common Multiple of 321460 and 321468

Properties of GCF 321460 and 321468

(i) The GCF of 321460 and 321468 is associative

GCF of 321460 and 321468 = GCF of 321468 and 321460

Related Greatest Common Factor of 321460

Related Greatest Common Factor of 321468

Frequently Asked Questions on GCF of 321460 and 321468

1. What is the GCF of 321460 and 321468?

Answer: GCF of 321460 and 321468 is 4.

2. What are the Factors of 321460?

Answer: Factors of 321460 are 1, 2, 4, 5, 10, 20, 16073, 32146, 64292, 80365, 160730, 321460. There are 12 integers that are factors of 321460. The greatest factor of 321460 is 321460.

3. What are the Factors of 321468?

Answer: Factors of 321468 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 89, 129, 172, 178, 258, 267, 301, 356, 516, 534, 602, 623, 903, 1068, 1204, 1246, 1806, 1869, 2492, 3612, 3738, 3827, 7476, 7654, 11481, 15308, 22962, 26789, 45924, 53578, 80367, 107156, 160734, 321468. There are 48 integers that are factors of 321468. The greatest factor of 321468 is 321468.

4. How to Find the GCF of 321460 and 321468?

Answer:

Greatest Common Factor of 321460 and 321468 = 4

Step 1: Find the prime factorization of 321460

321460 = 2 x 2 x 5 x 16073

Step 2: Find the prime factorization of 321468

321468 = 2 x 2 x 3 x 7 x 43 x 89

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 321460 and 321468 is 4