Greatest Common Factor of 7240 and 7247

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, 7247 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7240 and 7247 is 1.

GCF(7240,7247) = 1

GCF of 7240 and 7247

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

GCF of:
and

Greatest Common Factor of 7240 and 7247

GCF of 7240 and 7247 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 7247


7247 7247
1

Prime factors of 7247 are 7247. Prime factorization of 7247 in exponential form is:

7247 = 72471

∴ So by taking common prime factors GCF of 7240 and 7247 is 1

Greatest Common Factor of 7240 and 7247 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 7247

List of positive integer factors of 7247 that divides 7247 without a remainder.

1,7247

Greatest Common Factor

We found the factors and prime factorization of 7240 and 7247. The biggest common factor number is the GCF number.
So the greatest common factor 7240 and 7247 is 1.

Also check out the Least Common Multiple of 7240 and 7247

Properties of GCF 7240 and 7247

(i) The GCF of 7240 and 7247 is associative

GCF of 7240 and 7247 = GCF of 7247 and 7240

Frequently Asked Questions on GCF of 7240 and 7247

1. What is the GCF of 7240 and 7247?

Answer: GCF of 7240 and 7247 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 7247?

Answer: Factors of 7247 are 1, 7247. There are 2 integers that are factors of 7247. The greatest factor of 7247 is 7247.

4. How to Find the GCF of 7240 and 7247?

Answer:

Greatest Common Factor of 7240 and 7247 = 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 7247

7247 = 7247

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 7247 is 1