Greatest Common Factor of 42018 and 42025

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 42018, 42025 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42018 and 42025 is 1.

GCF(42018,42025) = 1

GCF of 42018 and 42025

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

GCF of:
and

Greatest Common Factor of 42018 and 42025

GCF of 42018 and 42025 is 1

Prime Factorization of 42018


2 42018
3 21009
47 7003
149 149
1

Prime factors of 42018 are 2,3,47,149. Prime factorization of 42018 in exponential form is:

42018 = 21×31×471×1491

Prime Factorization of 42025


5 42025
5 8405
41 1681
41 41
1

Prime factors of 42025 are 5,41. Prime factorization of 42025 in exponential form is:

42025 = 52×412

∴ So by taking common prime factors GCF of 42018 and 42025 is 1

Greatest Common Factor of 42018 and 42025 by matching factors method

Factors of 42018

List of positive integer factors of 42018 that divides 42018 without a remainder.

1,2,3,6,47,94,141,149,282,298,447,894,7003,14006,21009,42018

Factors of 42025

List of positive integer factors of 42025 that divides 42025 without a remainder.

1,5,25,41,205,1025,1681,8405,42025

Greatest Common Factor

We found the factors and prime factorization of 42018 and 42025. The biggest common factor number is the GCF number.
So the greatest common factor 42018 and 42025 is 1.

Also check out the Least Common Multiple of 42018 and 42025

Properties of GCF 42018 and 42025

(i) The GCF of 42018 and 42025 is associative

GCF of 42018 and 42025 = GCF of 42025 and 42018

Related Greatest Common Factor of 42018

Related Greatest Common Factor of 42025

Frequently Asked Questions on GCF of 42018 and 42025

1. What is the GCF of 42018 and 42025?

Answer: GCF of 42018 and 42025 is 1.

2. What are the Factors of 42018?

Answer: Factors of 42018 are 1, 2, 3, 6, 47, 94, 141, 149, 282, 298, 447, 894, 7003, 14006, 21009, 42018. There are 16 integers that are factors of 42018. The greatest factor of 42018 is 42018.

3. What are the Factors of 42025?

Answer: Factors of 42025 are 1, 5, 25, 41, 205, 1025, 1681, 8405, 42025. There are 9 integers that are factors of 42025. The greatest factor of 42025 is 42025.

4. How to Find the GCF of 42018 and 42025?

Answer:

Greatest Common Factor of 42018 and 42025 = 1

Step 1: Find the prime factorization of 42018

42018 = 2 x 3 x 47 x 149

Step 2: Find the prime factorization of 42025

42025 = 5 x 5 x 41 x 41

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 42018 and 42025 is 1