Greatest Common Factor of 8043 and 8048

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 8043, 8048 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8043 and 8048 is 1.

GCF(8043,8048) = 1

GCF of 8043 and 8048

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

GCF of:
and

Greatest Common Factor of 8043 and 8048

GCF of 8043 and 8048 is 1

Prime Factorization of 8043


3 8043
7 2681
383 383
1

Prime factors of 8043 are 3,7,383. Prime factorization of 8043 in exponential form is:

8043 = 31×71×3831

Prime Factorization of 8048


2 8048
2 4024
2 2012
2 1006
503 503
1

Prime factors of 8048 are 2,503. Prime factorization of 8048 in exponential form is:

8048 = 24×5031

∴ So by taking common prime factors GCF of 8043 and 8048 is 1

Greatest Common Factor of 8043 and 8048 by matching factors method

Factors of 8043

List of positive integer factors of 8043 that divides 8043 without a remainder.

1,3,7,21,383,1149,2681,8043

Factors of 8048

List of positive integer factors of 8048 that divides 8048 without a remainder.

1,2,4,8,16,503,1006,2012,4024,8048

Greatest Common Factor

We found the factors and prime factorization of 8043 and 8048. The biggest common factor number is the GCF number.
So the greatest common factor 8043 and 8048 is 1.

Also check out the Least Common Multiple of 8043 and 8048

Properties of GCF 8043 and 8048

(i) The GCF of 8043 and 8048 is associative

GCF of 8043 and 8048 = GCF of 8048 and 8043

Related Greatest Common Factor of 8043

Related Greatest Common Factor of 8048

Frequently Asked Questions on GCF of 8043 and 8048

1. What is the GCF of 8043 and 8048?

Answer: GCF of 8043 and 8048 is 1.

2. What are the Factors of 8043?

Answer: Factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043. There are 8 integers that are factors of 8043. The greatest factor of 8043 is 8043.

3. What are the Factors of 8048?

Answer: Factors of 8048 are 1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048. There are 10 integers that are factors of 8048. The greatest factor of 8048 is 8048.

4. How to Find the GCF of 8043 and 8048?

Answer:

Greatest Common Factor of 8043 and 8048 = 1

Step 1: Find the prime factorization of 8043

8043 = 3 x 7 x 383

Step 2: Find the prime factorization of 8048

8048 = 2 x 2 x 2 x 2 x 503

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8043 and 8048 is 1