Greatest Common Factor of 10320 and 10325

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 10320, 10325 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10320 and 10325 is 5.

GCF(10320,10325) = 5

GCF of 10320 and 10325

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

GCF of:
and

Greatest Common Factor of 10320 and 10325

GCF of 10320 and 10325 is 5

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

Prime Factorization of 10325


5 10325
5 2065
7 413
59 59
1

Prime factors of 10325 are 5,7,59. Prime factorization of 10325 in exponential form is:

10325 = 52×71×591

∴ So by taking common prime factors GCF of 10320 and 10325 is 5

Greatest Common Factor of 10320 and 10325 by matching factors method

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

Factors of 10325

List of positive integer factors of 10325 that divides 10325 without a remainder.

1,5,7,25,35,59,175,295,413,1475,2065,10325

Greatest Common Factor

We found the factors and prime factorization of 10320 and 10325. The biggest common factor number is the GCF number.
So the greatest common factor 10320 and 10325 is 5.

Also check out the Least Common Multiple of 10320 and 10325

Properties of GCF 10320 and 10325

(i) The GCF of 10320 and 10325 is associative

GCF of 10320 and 10325 = GCF of 10325 and 10320

Related Greatest Common Factor of 10320

Related Greatest Common Factor of 10325

Frequently Asked Questions on GCF of 10320 and 10325

1. What is the GCF of 10320 and 10325?

Answer: GCF of 10320 and 10325 is 5.

2. 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.

3. What are the Factors of 10325?

Answer: Factors of 10325 are 1, 5, 7, 25, 35, 59, 175, 295, 413, 1475, 2065, 10325. There are 12 integers that are factors of 10325. The greatest factor of 10325 is 10325.

4. How to Find the GCF of 10320 and 10325?

Answer:

Greatest Common Factor of 10320 and 10325 = 5

Step 1: Find the prime factorization of 10320

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

Step 2: Find the prime factorization of 10325

10325 = 5 x 5 x 7 x 59

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

GCF = 5

Step 4: Therefore, the greatest common factor of 10320 and 10325 is 5