Greatest Common Factor of 7235 and 7240

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 7235, 7240 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7235 and 7240 is 5.

GCF(7235,7240) = 5

GCF of 7235 and 7240

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

GCF of:
and

Greatest Common Factor of 7235 and 7240

GCF of 7235 and 7240 is 5

Prime Factorization of 7235


5 7235
1447 1447
1

Prime factors of 7235 are 5,1447. Prime factorization of 7235 in exponential form is:

7235 = 51×14471

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

∴ So by taking common prime factors GCF of 7235 and 7240 is 5

Greatest Common Factor of 7235 and 7240 by matching factors method

Factors of 7235

List of positive integer factors of 7235 that divides 7235 without a remainder.

1,5,1447,7235

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

Greatest Common Factor

We found the factors and prime factorization of 7235 and 7240. The biggest common factor number is the GCF number.
So the greatest common factor 7235 and 7240 is 5.

Also check out the Least Common Multiple of 7235 and 7240

Properties of GCF 7235 and 7240

(i) The GCF of 7235 and 7240 is associative

GCF of 7235 and 7240 = GCF of 7240 and 7235

Related Greatest Common Factor of 7235

Related Greatest Common Factor of 7240

Frequently Asked Questions on GCF of 7235 and 7240

1. What is the GCF of 7235 and 7240?

Answer: GCF of 7235 and 7240 is 5.

2. What are the Factors of 7235?

Answer: Factors of 7235 are 1, 5, 1447, 7235. There are 4 integers that are factors of 7235. The greatest factor of 7235 is 7235.

3. 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.

4. How to Find the GCF of 7235 and 7240?

Answer:

Greatest Common Factor of 7235 and 7240 = 5

Step 1: Find the prime factorization of 7235

7235 = 5 x 1447

Step 2: Find the prime factorization of 7240

7240 = 2 x 2 x 2 x 5 x 181

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 7235 and 7240 is 5