Greatest Common Factor of 5044 and 5048

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 5044, 5048 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5044 and 5048 is 4.

GCF(5044,5048) = 4

GCF of 5044 and 5048

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

GCF of:
and

Greatest Common Factor of 5044 and 5048

GCF of 5044 and 5048 is 4

Prime Factorization of 5044


2 5044
2 2522
13 1261
97 97
1

Prime factors of 5044 are 2,13,97. Prime factorization of 5044 in exponential form is:

5044 = 22×131×971

Prime Factorization of 5048


2 5048
2 2524
2 1262
631 631
1

Prime factors of 5048 are 2,631. Prime factorization of 5048 in exponential form is:

5048 = 23×6311

∴ So by taking common prime factors GCF of 5044 and 5048 is 4

Greatest Common Factor of 5044 and 5048 by matching factors method

Factors of 5044

List of positive integer factors of 5044 that divides 5044 without a remainder.

1,2,4,13,26,52,97,194,388,1261,2522,5044

Factors of 5048

List of positive integer factors of 5048 that divides 5048 without a remainder.

1,2,4,8,631,1262,2524,5048

Greatest Common Factor

We found the factors and prime factorization of 5044 and 5048. The biggest common factor number is the GCF number.
So the greatest common factor 5044 and 5048 is 4.

Also check out the Least Common Multiple of 5044 and 5048

Properties of GCF 5044 and 5048

(i) The GCF of 5044 and 5048 is associative

GCF of 5044 and 5048 = GCF of 5048 and 5044

Related Greatest Common Factor of 5044

Related Greatest Common Factor of 5048

Frequently Asked Questions on GCF of 5044 and 5048

1. What is the GCF of 5044 and 5048?

Answer: GCF of 5044 and 5048 is 4.

2. What are the Factors of 5044?

Answer: Factors of 5044 are 1, 2, 4, 13, 26, 52, 97, 194, 388, 1261, 2522, 5044. There are 12 integers that are factors of 5044. The greatest factor of 5044 is 5044.

3. What are the Factors of 5048?

Answer: Factors of 5048 are 1, 2, 4, 8, 631, 1262, 2524, 5048. There are 8 integers that are factors of 5048. The greatest factor of 5048 is 5048.

4. How to Find the GCF of 5044 and 5048?

Answer:

Greatest Common Factor of 5044 and 5048 = 4

Step 1: Find the prime factorization of 5044

5044 = 2 x 2 x 13 x 97

Step 2: Find the prime factorization of 5048

5048 = 2 x 2 x 2 x 631

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 5044 and 5048 is 4