Greatest Common Factor of 36118 and 36123

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 36118, 36123 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36118 and 36123 is 1.

GCF(36118,36123) = 1

GCF of 36118 and 36123

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

GCF of:
and

Greatest Common Factor of 36118 and 36123

GCF of 36118 and 36123 is 1

Prime Factorization of 36118


2 36118
18059 18059
1

Prime factors of 36118 are 2,18059. Prime factorization of 36118 in exponential form is:

36118 = 21×180591

Prime Factorization of 36123


3 36123
12041 12041
1

Prime factors of 36123 are 3,12041. Prime factorization of 36123 in exponential form is:

36123 = 31×120411

∴ So by taking common prime factors GCF of 36118 and 36123 is 1

Greatest Common Factor of 36118 and 36123 by matching factors method

Factors of 36118

List of positive integer factors of 36118 that divides 36118 without a remainder.

1,2,18059,36118

Factors of 36123

List of positive integer factors of 36123 that divides 36123 without a remainder.

1,3,12041,36123

Greatest Common Factor

We found the factors and prime factorization of 36118 and 36123. The biggest common factor number is the GCF number.
So the greatest common factor 36118 and 36123 is 1.

Also check out the Least Common Multiple of 36118 and 36123

Properties of GCF 36118 and 36123

(i) The GCF of 36118 and 36123 is associative

GCF of 36118 and 36123 = GCF of 36123 and 36118

Related Greatest Common Factor of 36118

Related Greatest Common Factor of 36123

Frequently Asked Questions on GCF of 36118 and 36123

1. What is the GCF of 36118 and 36123?

Answer: GCF of 36118 and 36123 is 1.

2. What are the Factors of 36118?

Answer: Factors of 36118 are 1, 2, 18059, 36118. There are 4 integers that are factors of 36118. The greatest factor of 36118 is 36118.

3. What are the Factors of 36123?

Answer: Factors of 36123 are 1, 3, 12041, 36123. There are 4 integers that are factors of 36123. The greatest factor of 36123 is 36123.

4. How to Find the GCF of 36118 and 36123?

Answer:

Greatest Common Factor of 36118 and 36123 = 1

Step 1: Find the prime factorization of 36118

36118 = 2 x 18059

Step 2: Find the prime factorization of 36123

36123 = 3 x 12041

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 36118 and 36123 is 1