Greatest Common Factor of 10325 and 10330

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 10325, 10330 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10325 and 10330 is 5.

GCF(10325,10330) = 5

GCF of 10325 and 10330

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

GCF of:
and

Greatest Common Factor of 10325 and 10330

GCF of 10325 and 10330 is 5

Prime Factorization of 10325


5 10325
5 2065
7 413
59 59
1

Prime factors of 10325 are 5,7,59. Prime factorization of 10325 in exponential form is:

10325 = 52×71×591

Prime Factorization of 10330


2 10330
5 5165
1033 1033
1

Prime factors of 10330 are 2,5,1033. Prime factorization of 10330 in exponential form is:

10330 = 21×51×10331

∴ So by taking common prime factors GCF of 10325 and 10330 is 5

Greatest Common Factor of 10325 and 10330 by matching factors method

Factors of 10325

List of positive integer factors of 10325 that divides 10325 without a remainder.

1,5,7,25,35,59,175,295,413,1475,2065,10325

Factors of 10330

List of positive integer factors of 10330 that divides 10330 without a remainder.

1,2,5,10,1033,2066,5165,10330

Greatest Common Factor

We found the factors and prime factorization of 10325 and 10330. The biggest common factor number is the GCF number.
So the greatest common factor 10325 and 10330 is 5.

Also check out the Least Common Multiple of 10325 and 10330

Properties of GCF 10325 and 10330

(i) The GCF of 10325 and 10330 is associative

GCF of 10325 and 10330 = GCF of 10330 and 10325

Related Greatest Common Factor of 10325

Related Greatest Common Factor of 10330

Frequently Asked Questions on GCF of 10325 and 10330

1. What is the GCF of 10325 and 10330?

Answer: GCF of 10325 and 10330 is 5.

2. What are the Factors of 10325?

Answer: Factors of 10325 are 1, 5, 7, 25, 35, 59, 175, 295, 413, 1475, 2065, 10325. There are 12 integers that are factors of 10325. The greatest factor of 10325 is 10325.

3. What are the Factors of 10330?

Answer: Factors of 10330 are 1, 2, 5, 10, 1033, 2066, 5165, 10330. There are 8 integers that are factors of 10330. The greatest factor of 10330 is 10330.

4. How to Find the GCF of 10325 and 10330?

Answer:

Greatest Common Factor of 10325 and 10330 = 5

Step 1: Find the prime factorization of 10325

10325 = 5 x 5 x 7 x 59

Step 2: Find the prime factorization of 10330

10330 = 2 x 5 x 1033

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 10325 and 10330 is 5