Greatest Common Factor of 4025 and 4030

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 4025, 4030 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4025 and 4030 is 5.

GCF(4025,4030) = 5

GCF of 4025 and 4030

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

GCF of:
and

Greatest Common Factor of 4025 and 4030

GCF of 4025 and 4030 is 5

Prime Factorization of 4025


5 4025
5 805
7 161
23 23
1

Prime factors of 4025 are 5,7,23. Prime factorization of 4025 in exponential form is:

4025 = 52×71×231

Prime Factorization of 4030


2 4030
5 2015
13 403
31 31
1

Prime factors of 4030 are 2,5,13,31. Prime factorization of 4030 in exponential form is:

4030 = 21×51×131×311

∴ So by taking common prime factors GCF of 4025 and 4030 is 5

Greatest Common Factor of 4025 and 4030 by matching factors method

Factors of 4025

List of positive integer factors of 4025 that divides 4025 without a remainder.

1,5,7,23,25,35,115,161,175,575,805,4025

Factors of 4030

List of positive integer factors of 4030 that divides 4030 without a remainder.

1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030

Greatest Common Factor

We found the factors and prime factorization of 4025 and 4030. The biggest common factor number is the GCF number.
So the greatest common factor 4025 and 4030 is 5.

Also check out the Least Common Multiple of 4025 and 4030

Properties of GCF 4025 and 4030

(i) The GCF of 4025 and 4030 is associative

GCF of 4025 and 4030 = GCF of 4030 and 4025

Related Greatest Common Factor of 4025

Related Greatest Common Factor of 4030

Frequently Asked Questions on GCF of 4025 and 4030

1. What is the GCF of 4025 and 4030?

Answer: GCF of 4025 and 4030 is 5.

2. What are the Factors of 4025?

Answer: Factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025. There are 12 integers that are factors of 4025. The greatest factor of 4025 is 4025.

3. What are the Factors of 4030?

Answer: Factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030. There are 16 integers that are factors of 4030. The greatest factor of 4030 is 4030.

4. How to Find the GCF of 4025 and 4030?

Answer:

Greatest Common Factor of 4025 and 4030 = 5

Step 1: Find the prime factorization of 4025

4025 = 5 x 5 x 7 x 23

Step 2: Find the prime factorization of 4030

4030 = 2 x 5 x 13 x 31

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 4025 and 4030 is 5