Greatest Common Factor of 10432 and 10440

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 10432, 10440 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10432 and 10440 is 8.

GCF(10432,10440) = 8

GCF of 10432 and 10440

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

GCF of:
and

Greatest Common Factor of 10432 and 10440

GCF of 10432 and 10440 is 8

Prime Factorization of 10432


2 10432
2 5216
2 2608
2 1304
2 652
2 326
163 163
1

Prime factors of 10432 are 2,163. Prime factorization of 10432 in exponential form is:

10432 = 26×1631

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

∴ So by taking common prime factors GCF of 10432 and 10440 is 8

Greatest Common Factor of 10432 and 10440 by matching factors method

Factors of 10432

List of positive integer factors of 10432 that divides 10432 without a remainder.

1,2,4,8,16,32,64,163,326,652,1304,2608,5216,10432

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

Greatest Common Factor

We found the factors and prime factorization of 10432 and 10440. The biggest common factor number is the GCF number.
So the greatest common factor 10432 and 10440 is 8.

Also check out the Least Common Multiple of 10432 and 10440

Properties of GCF 10432 and 10440

(i) The GCF of 10432 and 10440 is associative

GCF of 10432 and 10440 = GCF of 10440 and 10432

Related Greatest Common Factor of 10432

Related Greatest Common Factor of 10440

Frequently Asked Questions on GCF of 10432 and 10440

1. What is the GCF of 10432 and 10440?

Answer: GCF of 10432 and 10440 is 8.

2. What are the Factors of 10432?

Answer: Factors of 10432 are 1, 2, 4, 8, 16, 32, 64, 163, 326, 652, 1304, 2608, 5216, 10432. There are 14 integers that are factors of 10432. The greatest factor of 10432 is 10432.

3. 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.

4. How to Find the GCF of 10432 and 10440?

Answer:

Greatest Common Factor of 10432 and 10440 = 8

Step 1: Find the prime factorization of 10432

10432 = 2 x 2 x 2 x 2 x 2 x 2 x 163

Step 2: Find the prime factorization of 10440

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 10432 and 10440 is 8