Greatest Common Factor of 7325 and 7333

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 7325, 7333 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7325 and 7333 is 1.

GCF(7325,7333) = 1

GCF of 7325 and 7333

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

GCF of:
and

Greatest Common Factor of 7325 and 7333

GCF of 7325 and 7333 is 1

Prime Factorization of 7325


5 7325
5 1465
293 293
1

Prime factors of 7325 are 5,293. Prime factorization of 7325 in exponential form is:

7325 = 52×2931

Prime Factorization of 7333


7333 7333
1

Prime factors of 7333 are 7333. Prime factorization of 7333 in exponential form is:

7333 = 73331

∴ So by taking common prime factors GCF of 7325 and 7333 is 1

Greatest Common Factor of 7325 and 7333 by matching factors method

Factors of 7325

List of positive integer factors of 7325 that divides 7325 without a remainder.

1,5,25,293,1465,7325

Factors of 7333

List of positive integer factors of 7333 that divides 7333 without a remainder.

1,7333

Greatest Common Factor

We found the factors and prime factorization of 7325 and 7333. The biggest common factor number is the GCF number.
So the greatest common factor 7325 and 7333 is 1.

Also check out the Least Common Multiple of 7325 and 7333

Properties of GCF 7325 and 7333

(i) The GCF of 7325 and 7333 is associative

GCF of 7325 and 7333 = GCF of 7333 and 7325

Related Greatest Common Factor of 7325

Related Greatest Common Factor of 7333

Frequently Asked Questions on GCF of 7325 and 7333

1. What is the GCF of 7325 and 7333?

Answer: GCF of 7325 and 7333 is 1.

2. What are the Factors of 7325?

Answer: Factors of 7325 are 1, 5, 25, 293, 1465, 7325. There are 6 integers that are factors of 7325. The greatest factor of 7325 is 7325.

3. What are the Factors of 7333?

Answer: Factors of 7333 are 1, 7333. There are 2 integers that are factors of 7333. The greatest factor of 7333 is 7333.

4. How to Find the GCF of 7325 and 7333?

Answer:

Greatest Common Factor of 7325 and 7333 = 1

Step 1: Find the prime factorization of 7325

7325 = 5 x 5 x 293

Step 2: Find the prime factorization of 7333

7333 = 7333

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 7325 and 7333 is 1