Greatest Common Factor of 7295 and 7300

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 7295, 7300 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7295 and 7300 is 5.

GCF(7295,7300) = 5

GCF of 7295 and 7300

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

GCF of:
and

Greatest Common Factor of 7295 and 7300

GCF of 7295 and 7300 is 5

Prime Factorization of 7295


5 7295
1459 1459
1

Prime factors of 7295 are 5,1459. Prime factorization of 7295 in exponential form is:

7295 = 51×14591

Prime Factorization of 7300


2 7300
2 3650
5 1825
5 365
73 73
1

Prime factors of 7300 are 2,5,73. Prime factorization of 7300 in exponential form is:

7300 = 22×52×731

∴ So by taking common prime factors GCF of 7295 and 7300 is 5

Greatest Common Factor of 7295 and 7300 by matching factors method

Factors of 7295

List of positive integer factors of 7295 that divides 7295 without a remainder.

1,5,1459,7295

Factors of 7300

List of positive integer factors of 7300 that divides 7300 without a remainder.

1,2,4,5,10,20,25,50,73,100,146,292,365,730,1460,1825,3650,7300

Greatest Common Factor

We found the factors and prime factorization of 7295 and 7300. The biggest common factor number is the GCF number.
So the greatest common factor 7295 and 7300 is 5.

Also check out the Least Common Multiple of 7295 and 7300

Properties of GCF 7295 and 7300

(i) The GCF of 7295 and 7300 is associative

GCF of 7295 and 7300 = GCF of 7300 and 7295

Related Greatest Common Factor of 7295

Related Greatest Common Factor of 7300

Frequently Asked Questions on GCF of 7295 and 7300

1. What is the GCF of 7295 and 7300?

Answer: GCF of 7295 and 7300 is 5.

2. What are the Factors of 7295?

Answer: Factors of 7295 are 1, 5, 1459, 7295. There are 4 integers that are factors of 7295. The greatest factor of 7295 is 7295.

3. What are the Factors of 7300?

Answer: Factors of 7300 are 1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650, 7300. There are 18 integers that are factors of 7300. The greatest factor of 7300 is 7300.

4. How to Find the GCF of 7295 and 7300?

Answer:

Greatest Common Factor of 7295 and 7300 = 5

Step 1: Find the prime factorization of 7295

7295 = 5 x 1459

Step 2: Find the prime factorization of 7300

7300 = 2 x 2 x 5 x 5 x 73

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 7295 and 7300 is 5