Greatest Common Factor of 5242 and 5249

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 5242, 5249 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5242 and 5249 is 1.

GCF(5242,5249) = 1

GCF of 5242 and 5249

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

GCF of:
and

Greatest Common Factor of 5242 and 5249

GCF of 5242 and 5249 is 1

Prime Factorization of 5242


2 5242
2621 2621
1

Prime factors of 5242 are 2,2621. Prime factorization of 5242 in exponential form is:

5242 = 21×26211

Prime Factorization of 5249


29 5249
181 181
1

Prime factors of 5249 are 29,181. Prime factorization of 5249 in exponential form is:

5249 = 291×1811

∴ So by taking common prime factors GCF of 5242 and 5249 is 1

Greatest Common Factor of 5242 and 5249 by matching factors method

Factors of 5242

List of positive integer factors of 5242 that divides 5242 without a remainder.

1,2,2621,5242

Factors of 5249

List of positive integer factors of 5249 that divides 5249 without a remainder.

1,29,181,5249

Greatest Common Factor

We found the factors and prime factorization of 5242 and 5249. The biggest common factor number is the GCF number.
So the greatest common factor 5242 and 5249 is 1.

Also check out the Least Common Multiple of 5242 and 5249

Properties of GCF 5242 and 5249

(i) The GCF of 5242 and 5249 is associative

GCF of 5242 and 5249 = GCF of 5249 and 5242

Related Greatest Common Factor of 5242

Related Greatest Common Factor of 5249

Frequently Asked Questions on GCF of 5242 and 5249

1. What is the GCF of 5242 and 5249?

Answer: GCF of 5242 and 5249 is 1.

2. What are the Factors of 5242?

Answer: Factors of 5242 are 1, 2, 2621, 5242. There are 4 integers that are factors of 5242. The greatest factor of 5242 is 5242.

3. What are the Factors of 5249?

Answer: Factors of 5249 are 1, 29, 181, 5249. There are 4 integers that are factors of 5249. The greatest factor of 5249 is 5249.

4. How to Find the GCF of 5242 and 5249?

Answer:

Greatest Common Factor of 5242 and 5249 = 1

Step 1: Find the prime factorization of 5242

5242 = 2 x 2621

Step 2: Find the prime factorization of 5249

5249 = 29 x 181

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 5242 and 5249 is 1