Greatest Common Factor of 7240 and 7248

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, 7248 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7240 and 7248 is 8.

GCF(7240,7248) = 8

GCF of 7240 and 7248

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

GCF of:
and

Greatest Common Factor of 7240 and 7248

GCF of 7240 and 7248 is 8

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 7248


2 7248
2 3624
2 1812
2 906
3 453
151 151
1

Prime factors of 7248 are 2,3,151. Prime factorization of 7248 in exponential form is:

7248 = 24×31×1511

∴ So by taking common prime factors GCF of 7240 and 7248 is 8

Greatest Common Factor of 7240 and 7248 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 7248

List of positive integer factors of 7248 that divides 7248 without a remainder.

1,2,3,4,6,8,12,16,24,48,151,302,453,604,906,1208,1812,2416,3624,7248

Greatest Common Factor

We found the factors and prime factorization of 7240 and 7248. The biggest common factor number is the GCF number.
So the greatest common factor 7240 and 7248 is 8.

Also check out the Least Common Multiple of 7240 and 7248

Properties of GCF 7240 and 7248

(i) The GCF of 7240 and 7248 is associative

GCF of 7240 and 7248 = GCF of 7248 and 7240

Related Greatest Common Factor of 7240

Related Greatest Common Factor of 7248

Frequently Asked Questions on GCF of 7240 and 7248

1. What is the GCF of 7240 and 7248?

Answer: GCF of 7240 and 7248 is 8.

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 7248?

Answer: Factors of 7248 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248. There are 20 integers that are factors of 7248. The greatest factor of 7248 is 7248.

4. How to Find the GCF of 7240 and 7248?

Answer:

Greatest Common Factor of 7240 and 7248 = 8

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 7248

7248 = 2 x 2 x 2 x 2 x 3 x 151

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7240 and 7248 is 8