Greatest Common Factor of 7239 and 7243

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 7239, 7243 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7239 and 7243 is 1.

GCF(7239,7243) = 1

GCF of 7239 and 7243

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

GCF of:
and

Greatest Common Factor of 7239 and 7243

GCF of 7239 and 7243 is 1

Prime Factorization of 7239


3 7239
19 2413
127 127
1

Prime factors of 7239 are 3,19,127. Prime factorization of 7239 in exponential form is:

7239 = 31×191×1271

Prime Factorization of 7243


7243 7243
1

Prime factors of 7243 are 7243. Prime factorization of 7243 in exponential form is:

7243 = 72431

∴ So by taking common prime factors GCF of 7239 and 7243 is 1

Greatest Common Factor of 7239 and 7243 by matching factors method

Factors of 7239

List of positive integer factors of 7239 that divides 7239 without a remainder.

1,3,19,57,127,381,2413,7239

Factors of 7243

List of positive integer factors of 7243 that divides 7243 without a remainder.

1,7243

Greatest Common Factor

We found the factors and prime factorization of 7239 and 7243. The biggest common factor number is the GCF number.
So the greatest common factor 7239 and 7243 is 1.

Also check out the Least Common Multiple of 7239 and 7243

Properties of GCF 7239 and 7243

(i) The GCF of 7239 and 7243 is associative

GCF of 7239 and 7243 = GCF of 7243 and 7239

Frequently Asked Questions on GCF of 7239 and 7243

1. What is the GCF of 7239 and 7243?

Answer: GCF of 7239 and 7243 is 1.

2. What are the Factors of 7239?

Answer: Factors of 7239 are 1, 3, 19, 57, 127, 381, 2413, 7239. There are 8 integers that are factors of 7239. The greatest factor of 7239 is 7239.

3. What are the Factors of 7243?

Answer: Factors of 7243 are 1, 7243. There are 2 integers that are factors of 7243. The greatest factor of 7243 is 7243.

4. How to Find the GCF of 7239 and 7243?

Answer:

Greatest Common Factor of 7239 and 7243 = 1

Step 1: Find the prime factorization of 7239

7239 = 3 x 19 x 127

Step 2: Find the prime factorization of 7243

7243 = 7243

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 7239 and 7243 is 1