Greatest Common Factor of 6432 and 6440

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 6432, 6440 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6432 and 6440 is 8.

GCF(6432,6440) = 8

GCF of 6432 and 6440

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

GCF of:
and

Greatest Common Factor of 6432 and 6440

GCF of 6432 and 6440 is 8

Prime Factorization of 6432


2 6432
2 3216
2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 6432 are 2,3,67. Prime factorization of 6432 in exponential form is:

6432 = 25×31×671

Prime Factorization of 6440


2 6440
2 3220
2 1610
5 805
7 161
23 23
1

Prime factors of 6440 are 2,5,7,23. Prime factorization of 6440 in exponential form is:

6440 = 23×51×71×231

∴ So by taking common prime factors GCF of 6432 and 6440 is 8

Greatest Common Factor of 6432 and 6440 by matching factors method

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432

Factors of 6440

List of positive integer factors of 6440 that divides 6440 without a remainder.

1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440

Greatest Common Factor

We found the factors and prime factorization of 6432 and 6440. The biggest common factor number is the GCF number.
So the greatest common factor 6432 and 6440 is 8.

Also check out the Least Common Multiple of 6432 and 6440

Properties of GCF 6432 and 6440

(i) The GCF of 6432 and 6440 is associative

GCF of 6432 and 6440 = GCF of 6440 and 6432

Related Greatest Common Factor of 6432

Related Greatest Common Factor of 6440

Frequently Asked Questions on GCF of 6432 and 6440

1. What is the GCF of 6432 and 6440?

Answer: GCF of 6432 and 6440 is 8.

2. What are the Factors of 6432?

Answer: Factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432. There are 24 integers that are factors of 6432. The greatest factor of 6432 is 6432.

3. What are the Factors of 6440?

Answer: Factors of 6440 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220, 6440. There are 32 integers that are factors of 6440. The greatest factor of 6440 is 6440.

4. How to Find the GCF of 6432 and 6440?

Answer:

Greatest Common Factor of 6432 and 6440 = 8

Step 1: Find the prime factorization of 6432

6432 = 2 x 2 x 2 x 2 x 2 x 3 x 67

Step 2: Find the prime factorization of 6440

6440 = 2 x 2 x 2 x 5 x 7 x 23

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 6432 and 6440 is 8