Greatest Common Factor of 5245 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 5245, 5249 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5245 and 5249 is 1.

GCF(5245,5249) = 1

GCF of 5245 and 5249

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

GCF of:
and

Greatest Common Factor of 5245 and 5249

GCF of 5245 and 5249 is 1

Prime Factorization of 5245


5 5245
1049 1049
1

Prime factors of 5245 are 5,1049. Prime factorization of 5245 in exponential form is:

5245 = 51×10491

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 5245 and 5249 is 1

Greatest Common Factor of 5245 and 5249 by matching factors method

Factors of 5245

List of positive integer factors of 5245 that divides 5245 without a remainder.

1,5,1049,5245

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 5245 and 5249. The biggest common factor number is the GCF number.
So the greatest common factor 5245 and 5249 is 1.

Also check out the Least Common Multiple of 5245 and 5249

Properties of GCF 5245 and 5249

(i) The GCF of 5245 and 5249 is associative

GCF of 5245 and 5249 = GCF of 5249 and 5245

Related Greatest Common Factor of 5245

Related Greatest Common Factor of 5249

Frequently Asked Questions on GCF of 5245 and 5249

1. What is the GCF of 5245 and 5249?

Answer: GCF of 5245 and 5249 is 1.

2. What are the Factors of 5245?

Answer: Factors of 5245 are 1, 5, 1049, 5245. There are 4 integers that are factors of 5245. The greatest factor of 5245 is 5245.

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 5245 and 5249?

Answer:

Greatest Common Factor of 5245 and 5249 = 1

Step 1: Find the prime factorization of 5245

5245 = 5 x 1049

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 5245 and 5249 is 1