Greatest Common Factor of 40025 and 40030

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 40025, 40030 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40025 and 40030 is 5.

GCF(40025,40030) = 5

GCF of 40025 and 40030

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

GCF of:
and

Greatest Common Factor of 40025 and 40030

GCF of 40025 and 40030 is 5

Prime Factorization of 40025


5 40025
5 8005
1601 1601
1

Prime factors of 40025 are 5,1601. Prime factorization of 40025 in exponential form is:

40025 = 52×16011

Prime Factorization of 40030


2 40030
5 20015
4003 4003
1

Prime factors of 40030 are 2,5,4003. Prime factorization of 40030 in exponential form is:

40030 = 21×51×40031

∴ So by taking common prime factors GCF of 40025 and 40030 is 5

Greatest Common Factor of 40025 and 40030 by matching factors method

Factors of 40025

List of positive integer factors of 40025 that divides 40025 without a remainder.

1,5,25,1601,8005,40025

Factors of 40030

List of positive integer factors of 40030 that divides 40030 without a remainder.

1,2,5,10,4003,8006,20015,40030

Greatest Common Factor

We found the factors and prime factorization of 40025 and 40030. The biggest common factor number is the GCF number.
So the greatest common factor 40025 and 40030 is 5.

Also check out the Least Common Multiple of 40025 and 40030

Properties of GCF 40025 and 40030

(i) The GCF of 40025 and 40030 is associative

GCF of 40025 and 40030 = GCF of 40030 and 40025

Related Greatest Common Factor of 40025

Related Greatest Common Factor of 40030

Frequently Asked Questions on GCF of 40025 and 40030

1. What is the GCF of 40025 and 40030?

Answer: GCF of 40025 and 40030 is 5.

2. What are the Factors of 40025?

Answer: Factors of 40025 are 1, 5, 25, 1601, 8005, 40025. There are 6 integers that are factors of 40025. The greatest factor of 40025 is 40025.

3. What are the Factors of 40030?

Answer: Factors of 40030 are 1, 2, 5, 10, 4003, 8006, 20015, 40030. There are 8 integers that are factors of 40030. The greatest factor of 40030 is 40030.

4. How to Find the GCF of 40025 and 40030?

Answer:

Greatest Common Factor of 40025 and 40030 = 5

Step 1: Find the prime factorization of 40025

40025 = 5 x 5 x 1601

Step 2: Find the prime factorization of 40030

40030 = 2 x 5 x 4003

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 40025 and 40030 is 5