Greatest Common Factor of 10316 and 10320

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 10316, 10320 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10316 and 10320 is 4.

GCF(10316,10320) = 4

GCF of 10316 and 10320

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

GCF of:
and

Greatest Common Factor of 10316 and 10320

GCF of 10316 and 10320 is 4

Prime Factorization of 10316


2 10316
2 5158
2579 2579
1

Prime factors of 10316 are 2,2579. Prime factorization of 10316 in exponential form is:

10316 = 22×25791

Prime Factorization of 10320


2 10320
2 5160
2 2580
2 1290
3 645
5 215
43 43
1

Prime factors of 10320 are 2,3,5,43. Prime factorization of 10320 in exponential form is:

10320 = 24×31×51×431

∴ So by taking common prime factors GCF of 10316 and 10320 is 4

Greatest Common Factor of 10316 and 10320 by matching factors method

Factors of 10316

List of positive integer factors of 10316 that divides 10316 without a remainder.

1,2,4,2579,5158,10316

Factors of 10320

List of positive integer factors of 10320 that divides 10320 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,43,48,60,80,86,120,129,172,215,240,258,344,430,516,645,688,860,1032,1290,1720,2064,2580,3440,5160,10320

Greatest Common Factor

We found the factors and prime factorization of 10316 and 10320. The biggest common factor number is the GCF number.
So the greatest common factor 10316 and 10320 is 4.

Also check out the Least Common Multiple of 10316 and 10320

Properties of GCF 10316 and 10320

(i) The GCF of 10316 and 10320 is associative

GCF of 10316 and 10320 = GCF of 10320 and 10316

Related Greatest Common Factor of 10316

Related Greatest Common Factor of 10320

Frequently Asked Questions on GCF of 10316 and 10320

1. What is the GCF of 10316 and 10320?

Answer: GCF of 10316 and 10320 is 4.

2. What are the Factors of 10316?

Answer: Factors of 10316 are 1, 2, 4, 2579, 5158, 10316. There are 6 integers that are factors of 10316. The greatest factor of 10316 is 10316.

3. What are the Factors of 10320?

Answer: Factors of 10320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 43, 48, 60, 80, 86, 120, 129, 172, 215, 240, 258, 344, 430, 516, 645, 688, 860, 1032, 1290, 1720, 2064, 2580, 3440, 5160, 10320. There are 40 integers that are factors of 10320. The greatest factor of 10320 is 10320.

4. How to Find the GCF of 10316 and 10320?

Answer:

Greatest Common Factor of 10316 and 10320 = 4

Step 1: Find the prime factorization of 10316

10316 = 2 x 2 x 2579

Step 2: Find the prime factorization of 10320

10320 = 2 x 2 x 2 x 2 x 3 x 5 x 43

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 10316 and 10320 is 4