Greatest Common Factor of 7241 and 7249

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 7241, 7249 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7241 and 7249 is 1.

GCF(7241,7249) = 1

GCF of 7241 and 7249

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

GCF of:
and

Greatest Common Factor of 7241 and 7249

GCF of 7241 and 7249 is 1

Prime Factorization of 7241


13 7241
557 557
1

Prime factors of 7241 are 13,557. Prime factorization of 7241 in exponential form is:

7241 = 131×5571

Prime Factorization of 7249


11 7249
659 659
1

Prime factors of 7249 are 11,659. Prime factorization of 7249 in exponential form is:

7249 = 111×6591

∴ So by taking common prime factors GCF of 7241 and 7249 is 1

Greatest Common Factor of 7241 and 7249 by matching factors method

Factors of 7241

List of positive integer factors of 7241 that divides 7241 without a remainder.

1,13,557,7241

Factors of 7249

List of positive integer factors of 7249 that divides 7249 without a remainder.

1,11,659,7249

Greatest Common Factor

We found the factors and prime factorization of 7241 and 7249. The biggest common factor number is the GCF number.
So the greatest common factor 7241 and 7249 is 1.

Also check out the Least Common Multiple of 7241 and 7249

Properties of GCF 7241 and 7249

(i) The GCF of 7241 and 7249 is associative

GCF of 7241 and 7249 = GCF of 7249 and 7241

Related Greatest Common Factor of 7241

Related Greatest Common Factor of 7249

Frequently Asked Questions on GCF of 7241 and 7249

1. What is the GCF of 7241 and 7249?

Answer: GCF of 7241 and 7249 is 1.

2. What are the Factors of 7241?

Answer: Factors of 7241 are 1, 13, 557, 7241. There are 4 integers that are factors of 7241. The greatest factor of 7241 is 7241.

3. What are the Factors of 7249?

Answer: Factors of 7249 are 1, 11, 659, 7249. There are 4 integers that are factors of 7249. The greatest factor of 7249 is 7249.

4. How to Find the GCF of 7241 and 7249?

Answer:

Greatest Common Factor of 7241 and 7249 = 1

Step 1: Find the prime factorization of 7241

7241 = 13 x 557

Step 2: Find the prime factorization of 7249

7249 = 11 x 659

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 7241 and 7249 is 1