Greatest Common Factor of 10313 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 10313, 10320 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10313 and 10320 is 1.

GCF(10313,10320) = 1

GCF of 10313 and 10320

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

GCF of:
and

Greatest Common Factor of 10313 and 10320

GCF of 10313 and 10320 is 1

Prime Factorization of 10313


10313 10313
1

Prime factors of 10313 are 10313. Prime factorization of 10313 in exponential form is:

10313 = 103131

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.Prime factorization of 10320 in exponential form is:

10320 = 24×31×51×431

∴ So by taking common prime factors GCF of 10313 and 10320 is 1

Greatest Common Factor of 10313 and 10320 by matching factors method

Factors of 10313

List of positive integer factors of 10313 that divides 10313 without a remainder.

1,10313

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 10313 and 10320. The biggest common factor number is the GCF number.
So the greatest common factor 10313 and 10320 is 1.

Also check out the Least Common Multiple of 10313 and 10320

Properties of GCF 10313 and 10320

(i) The GCF of 10313 and 10320 is associative

GCF of 10313 and 10320 = GCF of 10320 and 10313

Related Greatest Common Factor of 10313

Related Greatest Common Factor of 10320

Frequently Asked Questions on GCF of 10313 and 10320

1. What is the GCF of 10313 and 10320?

Answer: GCF of 10313 and 10320 is 1.

2. What are the Factors of 10313?

Answer: Factors of 10313 are 1, 10313. There are 2 integers that are factors of 10313. The greatest factor of 10313 is 10313.

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 10313 and 10320?

Answer:

Greatest Common Factor of 10313 and 10320 = 1

Step 1: Find the prime factorization of 10313

10313 = 10313

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 = = 1

Step 4: Therefore, the greatest common factor of 10313 and 10320 is 1