Greatest Common Factor of 5048 and 5054

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 5048, 5054 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5048 and 5054 is 2.

GCF(5048,5054) = 2

GCF of 5048 and 5054

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

GCF of:
and

Greatest Common Factor of 5048 and 5054

GCF of 5048 and 5054 is 2

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

Prime Factorization of 5054


2 5054
7 2527
19 361
19 19
1

Prime factors of 5054 are 2,7,19. Prime factorization of 5054 in exponential form is:

5054 = 21×71×192

∴ So by taking common prime factors GCF of 5048 and 5054 is 2

Greatest Common Factor of 5048 and 5054 by matching factors method

Factors of 5048

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

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

Factors of 5054

List of positive integer factors of 5054 that divides 5054 without a remainder.

1,2,7,14,19,38,133,266,361,722,2527,5054

Greatest Common Factor

We found the factors and prime factorization of 5048 and 5054. The biggest common factor number is the GCF number.
So the greatest common factor 5048 and 5054 is 2.

Also check out the Least Common Multiple of 5048 and 5054

Properties of GCF 5048 and 5054

(i) The GCF of 5048 and 5054 is associative

GCF of 5048 and 5054 = GCF of 5054 and 5048

Related Greatest Common Factor of 5048

Related Greatest Common Factor of 5054

Frequently Asked Questions on GCF of 5048 and 5054

1. What is the GCF of 5048 and 5054?

Answer: GCF of 5048 and 5054 is 2.

2. 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.

3. What are the Factors of 5054?

Answer: Factors of 5054 are 1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054. There are 12 integers that are factors of 5054. The greatest factor of 5054 is 5054.

4. How to Find the GCF of 5048 and 5054?

Answer:

Greatest Common Factor of 5048 and 5054 = 2

Step 1: Find the prime factorization of 5048

5048 = 2 x 2 x 2 x 631

Step 2: Find the prime factorization of 5054

5054 = 2 x 7 x 19 x 19

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5048 and 5054 is 2