Greatest Common Factor of 7238 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 7238, 7240 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7238 and 7240 is 2.

GCF(7238,7240) = 2

GCF of 7238 and 7240

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

GCF of:
and

Greatest Common Factor of 7238 and 7240

GCF of 7238 and 7240 is 2

Prime Factorization of 7238


2 7238
7 3619
11 517
47 47
1

Prime factors of 7238 are 2,7,11,47. Prime factorization of 7238 in exponential form is:

7238 = 21×71×111×471

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 7238 and 7240 is 2

Greatest Common Factor of 7238 and 7240 by matching factors method

Factors of 7238

List of positive integer factors of 7238 that divides 7238 without a remainder.

1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238

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 7238 and 7240. The biggest common factor number is the GCF number.
So the greatest common factor 7238 and 7240 is 2.

Also check out the Least Common Multiple of 7238 and 7240

Properties of GCF 7238 and 7240

(i) The GCF of 7238 and 7240 is associative

GCF of 7238 and 7240 = GCF of 7240 and 7238

Related Greatest Common Factor of 7238

Related Greatest Common Factor of 7240

Frequently Asked Questions on GCF of 7238 and 7240

1. What is the GCF of 7238 and 7240?

Answer: GCF of 7238 and 7240 is 2.

2. What are the Factors of 7238?

Answer: Factors of 7238 are 1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619, 7238. There are 16 integers that are factors of 7238. The greatest factor of 7238 is 7238.

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 7238 and 7240?

Answer:

Greatest Common Factor of 7238 and 7240 = 2

Step 1: Find the prime factorization of 7238

7238 = 2 x 7 x 11 x 47

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 = 2

Step 4: Therefore, the greatest common factor of 7238 and 7240 is 2