Greatest Common Factor of 7300 and 7304

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 7300, 7304 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7300 and 7304 is 4.

GCF(7300,7304) = 4

GCF of 7300 and 7304

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

GCF of:
and

Greatest Common Factor of 7300 and 7304

GCF of 7300 and 7304 is 4

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

Prime Factorization of 7304


2 7304
2 3652
2 1826
11 913
83 83
1

Prime factors of 7304 are 2,11,83. Prime factorization of 7304 in exponential form is:

7304 = 23×111×831

∴ So by taking common prime factors GCF of 7300 and 7304 is 4

Greatest Common Factor of 7300 and 7304 by matching factors method

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

Factors of 7304

List of positive integer factors of 7304 that divides 7304 without a remainder.

1,2,4,8,11,22,44,83,88,166,332,664,913,1826,3652,7304

Greatest Common Factor

We found the factors and prime factorization of 7300 and 7304. The biggest common factor number is the GCF number.
So the greatest common factor 7300 and 7304 is 4.

Also check out the Least Common Multiple of 7300 and 7304

Properties of GCF 7300 and 7304

(i) The GCF of 7300 and 7304 is associative

GCF of 7300 and 7304 = GCF of 7304 and 7300

Related Greatest Common Factor of 7300

Related Greatest Common Factor of 7304

Frequently Asked Questions on GCF of 7300 and 7304

1. What is the GCF of 7300 and 7304?

Answer: GCF of 7300 and 7304 is 4.

2. 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.

3. What are the Factors of 7304?

Answer: Factors of 7304 are 1, 2, 4, 8, 11, 22, 44, 83, 88, 166, 332, 664, 913, 1826, 3652, 7304. There are 16 integers that are factors of 7304. The greatest factor of 7304 is 7304.

4. How to Find the GCF of 7300 and 7304?

Answer:

Greatest Common Factor of 7300 and 7304 = 4

Step 1: Find the prime factorization of 7300

7300 = 2 x 2 x 5 x 5 x 73

Step 2: Find the prime factorization of 7304

7304 = 2 x 2 x 2 x 11 x 83

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7300 and 7304 is 4