Greatest Common Factor of 10440 and 10446

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 10440, 10446 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10440 and 10446 is 6.

GCF(10440,10446) = 6

GCF of 10440 and 10446

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

GCF of:
and

Greatest Common Factor of 10440 and 10446

GCF of 10440 and 10446 is 6

Prime Factorization of 10440


2 10440
2 5220
2 2610
3 1305
3 435
5 145
29 29
1

Prime factors of 10440 are 2,3,5,29. Prime factorization of 10440 in exponential form is:

10440 = 23×32×51×291

Prime Factorization of 10446


2 10446
3 5223
1741 1741
1

Prime factors of 10446 are 2,3,1741. Prime factorization of 10446 in exponential form is:

10446 = 21×31×17411

∴ So by taking common prime factors GCF of 10440 and 10446 is 6

Greatest Common Factor of 10440 and 10446 by matching factors method

Factors of 10440

List of positive integer factors of 10440 that divides 10440 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,29,30,36,40,45,58,60,72,87,90,116,120,145,174,180,232,261,290,348,360,435,522,580,696,870,1044,1160,1305,1740,2088,2610,3480,5220,10440

Factors of 10446

List of positive integer factors of 10446 that divides 10446 without a remainder.

1,2,3,6,1741,3482,5223,10446

Greatest Common Factor

We found the factors and prime factorization of 10440 and 10446. The biggest common factor number is the GCF number.
So the greatest common factor 10440 and 10446 is 6.

Also check out the Least Common Multiple of 10440 and 10446

Properties of GCF 10440 and 10446

(i) The GCF of 10440 and 10446 is associative

GCF of 10440 and 10446 = GCF of 10446 and 10440

Related Greatest Common Factor of 10440

Related Greatest Common Factor of 10446

Frequently Asked Questions on GCF of 10440 and 10446

1. What is the GCF of 10440 and 10446?

Answer: GCF of 10440 and 10446 is 6.

2. What are the Factors of 10440?

Answer: Factors of 10440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 29, 30, 36, 40, 45, 58, 60, 72, 87, 90, 116, 120, 145, 174, 180, 232, 261, 290, 348, 360, 435, 522, 580, 696, 870, 1044, 1160, 1305, 1740, 2088, 2610, 3480, 5220, 10440. There are 48 integers that are factors of 10440. The greatest factor of 10440 is 10440.

3. What are the Factors of 10446?

Answer: Factors of 10446 are 1, 2, 3, 6, 1741, 3482, 5223, 10446. There are 8 integers that are factors of 10446. The greatest factor of 10446 is 10446.

4. How to Find the GCF of 10440 and 10446?

Answer:

Greatest Common Factor of 10440 and 10446 = 6

Step 1: Find the prime factorization of 10440

10440 = 2 x 2 x 2 x 3 x 3 x 5 x 29

Step 2: Find the prime factorization of 10446

10446 = 2 x 3 x 1741

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 10440 and 10446 is 6