Greatest Common Factor of 5047 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 5047, 5048 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5047 and 5048 is 1.

GCF(5047,5048) = 1

GCF of 5047 and 5048

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

GCF of:
and

Greatest Common Factor of 5047 and 5048

GCF of 5047 and 5048 is 1

Prime Factorization of 5047


7 5047
7 721
103 103
1

Prime factors of 5047 are 7,103. Prime factorization of 5047 in exponential form is:

5047 = 72×1031

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 5047 and 5048 is 1

Greatest Common Factor of 5047 and 5048 by matching factors method

Factors of 5047

List of positive integer factors of 5047 that divides 5047 without a remainder.

1,7,49,103,721,5047

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 5047 and 5048. The biggest common factor number is the GCF number.
So the greatest common factor 5047 and 5048 is 1.

Also check out the Least Common Multiple of 5047 and 5048

Properties of GCF 5047 and 5048

(i) The GCF of 5047 and 5048 is associative

GCF of 5047 and 5048 = GCF of 5048 and 5047

Related Greatest Common Factor of 5047

Related Greatest Common Factor of 5048

Frequently Asked Questions on GCF of 5047 and 5048

1. What is the GCF of 5047 and 5048?

Answer: GCF of 5047 and 5048 is 1.

2. What are the Factors of 5047?

Answer: Factors of 5047 are 1, 7, 49, 103, 721, 5047. There are 6 integers that are factors of 5047. The greatest factor of 5047 is 5047.

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 5047 and 5048?

Answer:

Greatest Common Factor of 5047 and 5048 = 1

Step 1: Find the prime factorization of 5047

5047 = 7 x 7 x 103

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 = = 1

Step 4: Therefore, the greatest common factor of 5047 and 5048 is 1