Greatest Common Factor of 10025 and 10030

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 10025, 10030 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10025 and 10030 is 5.

GCF(10025,10030) = 5

GCF of 10025 and 10030

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

GCF of:
and

Greatest Common Factor of 10025 and 10030

GCF of 10025 and 10030 is 5

Prime Factorization of 10025


5 10025
5 2005
401 401
1

Prime factors of 10025 are 5,401. Prime factorization of 10025 in exponential form is:

10025 = 52×4011

Prime Factorization of 10030


2 10030
5 5015
17 1003
59 59
1

Prime factors of 10030 are 2,5,17,59. Prime factorization of 10030 in exponential form is:

10030 = 21×51×171×591

∴ So by taking common prime factors GCF of 10025 and 10030 is 5

Greatest Common Factor of 10025 and 10030 by matching factors method

Factors of 10025

List of positive integer factors of 10025 that divides 10025 without a remainder.

1,5,25,401,2005,10025

Factors of 10030

List of positive integer factors of 10030 that divides 10030 without a remainder.

1,2,5,10,17,34,59,85,118,170,295,590,1003,2006,5015,10030

Greatest Common Factor

We found the factors and prime factorization of 10025 and 10030. The biggest common factor number is the GCF number.
So the greatest common factor 10025 and 10030 is 5.

Also check out the Least Common Multiple of 10025 and 10030

Properties of GCF 10025 and 10030

(i) The GCF of 10025 and 10030 is associative

GCF of 10025 and 10030 = GCF of 10030 and 10025

Related Greatest Common Factor of 10025

Related Greatest Common Factor of 10030

Frequently Asked Questions on GCF of 10025 and 10030

1. What is the GCF of 10025 and 10030?

Answer: GCF of 10025 and 10030 is 5.

2. What are the Factors of 10025?

Answer: Factors of 10025 are 1, 5, 25, 401, 2005, 10025. There are 6 integers that are factors of 10025. The greatest factor of 10025 is 10025.

3. What are the Factors of 10030?

Answer: Factors of 10030 are 1, 2, 5, 10, 17, 34, 59, 85, 118, 170, 295, 590, 1003, 2006, 5015, 10030. There are 16 integers that are factors of 10030. The greatest factor of 10030 is 10030.

4. How to Find the GCF of 10025 and 10030?

Answer:

Greatest Common Factor of 10025 and 10030 = 5

Step 1: Find the prime factorization of 10025

10025 = 5 x 5 x 401

Step 2: Find the prime factorization of 10030

10030 = 2 x 5 x 17 x 59

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 10025 and 10030 is 5