Greatest Common Factor of 6440 and 6448

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 6440, 6448 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6440 and 6448 is 8.

GCF(6440,6448) = 8

GCF of 6440 and 6448

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

GCF of:
and

Greatest Common Factor of 6440 and 6448

GCF of 6440 and 6448 is 8

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

Prime Factorization of 6448


2 6448
2 3224
2 1612
2 806
13 403
31 31
1

Prime factors of 6448 are 2,13,31. Prime factorization of 6448 in exponential form is:

6448 = 24×131×311

∴ So by taking common prime factors GCF of 6440 and 6448 is 8

Greatest Common Factor of 6440 and 6448 by matching factors method

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

Factors of 6448

List of positive integer factors of 6448 that divides 6448 without a remainder.

1,2,4,8,13,16,26,31,52,62,104,124,208,248,403,496,806,1612,3224,6448

Greatest Common Factor

We found the factors and prime factorization of 6440 and 6448. The biggest common factor number is the GCF number.
So the greatest common factor 6440 and 6448 is 8.

Also check out the Least Common Multiple of 6440 and 6448

Properties of GCF 6440 and 6448

(i) The GCF of 6440 and 6448 is associative

GCF of 6440 and 6448 = GCF of 6448 and 6440

Related Greatest Common Factor of 6440

Related Greatest Common Factor of 6448

Frequently Asked Questions on GCF of 6440 and 6448

1. What is the GCF of 6440 and 6448?

Answer: GCF of 6440 and 6448 is 8.

2. 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.

3. What are the Factors of 6448?

Answer: Factors of 6448 are 1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 403, 496, 806, 1612, 3224, 6448. There are 20 integers that are factors of 6448. The greatest factor of 6448 is 6448.

4. How to Find the GCF of 6440 and 6448?

Answer:

Greatest Common Factor of 6440 and 6448 = 8

Step 1: Find the prime factorization of 6440

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

Step 2: Find the prime factorization of 6448

6448 = 2 x 2 x 2 x 2 x 13 x 31

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 6440 and 6448 is 8