Greatest Common Factor of 4325 and 4330

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 4325, 4330 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4325 and 4330 is 5.

GCF(4325,4330) = 5

GCF of 4325 and 4330

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

GCF of:
and

Greatest Common Factor of 4325 and 4330

GCF of 4325 and 4330 is 5

Prime Factorization of 4325


5 4325
5 865
173 173
1

Prime factors of 4325 are 5,173. Prime factorization of 4325 in exponential form is:

4325 = 52×1731

Prime Factorization of 4330


2 4330
5 2165
433 433
1

Prime factors of 4330 are 2,5,433. Prime factorization of 4330 in exponential form is:

4330 = 21×51×4331

∴ So by taking common prime factors GCF of 4325 and 4330 is 5

Greatest Common Factor of 4325 and 4330 by matching factors method

Factors of 4325

List of positive integer factors of 4325 that divides 4325 without a remainder.

1,5,25,173,865,4325

Factors of 4330

List of positive integer factors of 4330 that divides 4330 without a remainder.

1,2,5,10,433,866,2165,4330

Greatest Common Factor

We found the factors and prime factorization of 4325 and 4330. The biggest common factor number is the GCF number.
So the greatest common factor 4325 and 4330 is 5.

Also check out the Least Common Multiple of 4325 and 4330

Properties of GCF 4325 and 4330

(i) The GCF of 4325 and 4330 is associative

GCF of 4325 and 4330 = GCF of 4330 and 4325

Related Greatest Common Factor of 4325

Related Greatest Common Factor of 4330

Frequently Asked Questions on GCF of 4325 and 4330

1. What is the GCF of 4325 and 4330?

Answer: GCF of 4325 and 4330 is 5.

2. What are the Factors of 4325?

Answer: Factors of 4325 are 1, 5, 25, 173, 865, 4325. There are 6 integers that are factors of 4325. The greatest factor of 4325 is 4325.

3. What are the Factors of 4330?

Answer: Factors of 4330 are 1, 2, 5, 10, 433, 866, 2165, 4330. There are 8 integers that are factors of 4330. The greatest factor of 4330 is 4330.

4. How to Find the GCF of 4325 and 4330?

Answer:

Greatest Common Factor of 4325 and 4330 = 5

Step 1: Find the prime factorization of 4325

4325 = 5 x 5 x 173

Step 2: Find the prime factorization of 4330

4330 = 2 x 5 x 433

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 4325 and 4330 is 5