Greatest Common Factor of 8044 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 8044, 8048 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8044 and 8048 is 4.

GCF(8044,8048) = 4

GCF of 8044 and 8048

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

GCF of:
and

Greatest Common Factor of 8044 and 8048

GCF of 8044 and 8048 is 4

Prime Factorization of 8044


2 8044
2 4022
2011 2011
1

Prime factors of 8044 are 2,2011. Prime factorization of 8044 in exponential form is:

8044 = 22×20111

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 8044 and 8048 is 4

Greatest Common Factor of 8044 and 8048 by matching factors method

Factors of 8044

List of positive integer factors of 8044 that divides 8044 without a remainder.

1,2,4,2011,4022,8044

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 8044 and 8048. The biggest common factor number is the GCF number.
So the greatest common factor 8044 and 8048 is 4.

Also check out the Least Common Multiple of 8044 and 8048

Properties of GCF 8044 and 8048

(i) The GCF of 8044 and 8048 is associative

GCF of 8044 and 8048 = GCF of 8048 and 8044

Related Greatest Common Factor of 8044

Related Greatest Common Factor of 8048

Frequently Asked Questions on GCF of 8044 and 8048

1. What is the GCF of 8044 and 8048?

Answer: GCF of 8044 and 8048 is 4.

2. What are the Factors of 8044?

Answer: Factors of 8044 are 1, 2, 4, 2011, 4022, 8044. There are 6 integers that are factors of 8044. The greatest factor of 8044 is 8044.

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 8044 and 8048?

Answer:

Greatest Common Factor of 8044 and 8048 = 4

Step 1: Find the prime factorization of 8044

8044 = 2 x 2 x 2011

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8044 and 8048 is 4