Greatest Common Factor of 7240 and 7241

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 7240, 7241 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7240 and 7241 is 1.

GCF(7240,7241) = 1

GCF of 7240 and 7241

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

GCF of:
and

Greatest Common Factor of 7240 and 7241

GCF of 7240 and 7241 is 1

Prime Factorization of 7240


2 7240
2 3620
2 1810
5 905
181 181
1

Prime factors of 7240 are 2,5,181. Prime factorization of 7240 in exponential form is:

7240 = 23×51×1811

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

∴ So by taking common prime factors GCF of 7240 and 7241 is 1

Greatest Common Factor of 7240 and 7241 by matching factors method

Factors of 7240

List of positive integer factors of 7240 that divides 7240 without a remainder.

1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240

Factors of 7241

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

1,13,557,7241

Greatest Common Factor

We found the factors and prime factorization of 7240 and 7241. The biggest common factor number is the GCF number.
So the greatest common factor 7240 and 7241 is 1.

Also check out the Least Common Multiple of 7240 and 7241

Properties of GCF 7240 and 7241

(i) The GCF of 7240 and 7241 is associative

GCF of 7240 and 7241 = GCF of 7241 and 7240

Related Greatest Common Factor of 7240

Related Greatest Common Factor of 7241

Frequently Asked Questions on GCF of 7240 and 7241

1. What is the GCF of 7240 and 7241?

Answer: GCF of 7240 and 7241 is 1.

2. What are the Factors of 7240?

Answer: Factors of 7240 are 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240. There are 16 integers that are factors of 7240. The greatest factor of 7240 is 7240.

3. 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.

4. How to Find the GCF of 7240 and 7241?

Answer:

Greatest Common Factor of 7240 and 7241 = 1

Step 1: Find the prime factorization of 7240

7240 = 2 x 2 x 2 x 5 x 181

Step 2: Find the prime factorization of 7241

7241 = 13 x 557

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 7240 and 7241 is 1