Greatest Common Factor of 4018 and 4025

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 4018, 4025 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4018 and 4025 is 7.

GCF(4018,4025) = 7

GCF of 4018 and 4025

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

GCF of:
and

Greatest Common Factor of 4018 and 4025

GCF of 4018 and 4025 is 7

Prime Factorization of 4018


2 4018
7 2009
7 287
41 41
1

Prime factors of 4018 are 2,7,41. Prime factorization of 4018 in exponential form is:

4018 = 21×72×411

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

∴ So by taking common prime factors GCF of 4018 and 4025 is 7

Greatest Common Factor of 4018 and 4025 by matching factors method

Factors of 4018

List of positive integer factors of 4018 that divides 4018 without a remainder.

1,2,7,14,41,49,82,98,287,574,2009,4018

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

Greatest Common Factor

We found the factors and prime factorization of 4018 and 4025. The biggest common factor number is the GCF number.
So the greatest common factor 4018 and 4025 is 7.

Also check out the Least Common Multiple of 4018 and 4025

Properties of GCF 4018 and 4025

(i) The GCF of 4018 and 4025 is associative

GCF of 4018 and 4025 = GCF of 4025 and 4018

Related Greatest Common Factor of 4018

Related Greatest Common Factor of 4025

Frequently Asked Questions on GCF of 4018 and 4025

1. What is the GCF of 4018 and 4025?

Answer: GCF of 4018 and 4025 is 7.

2. What are the Factors of 4018?

Answer: Factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018. There are 12 integers that are factors of 4018. The greatest factor of 4018 is 4018.

3. 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.

4. How to Find the GCF of 4018 and 4025?

Answer:

Greatest Common Factor of 4018 and 4025 = 7

Step 1: Find the prime factorization of 4018

4018 = 2 x 7 x 7 x 41

Step 2: Find the prime factorization of 4025

4025 = 5 x 5 x 7 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 4018 and 4025 is 7