Greatest Common Factor of 4138 and 4146

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 4138, 4146 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4138 and 4146 is 2.

GCF(4138,4146) = 2

GCF of 4138 and 4146

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

GCF of:
and

Greatest Common Factor of 4138 and 4146

GCF of 4138 and 4146 is 2

Prime Factorization of 4138


2 4138
2069 2069
1

Prime factors of 4138 are 2,2069. Prime factorization of 4138 in exponential form is:

4138 = 21×20691

Prime Factorization of 4146


2 4146
3 2073
691 691
1

Prime factors of 4146 are 2,3,691. Prime factorization of 4146 in exponential form is:

4146 = 21×31×6911

∴ So by taking common prime factors GCF of 4138 and 4146 is 2

Greatest Common Factor of 4138 and 4146 by matching factors method

Factors of 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1,2,2069,4138

Factors of 4146

List of positive integer factors of 4146 that divides 4146 without a remainder.

1,2,3,6,691,1382,2073,4146

Greatest Common Factor

We found the factors and prime factorization of 4138 and 4146. The biggest common factor number is the GCF number.
So the greatest common factor 4138 and 4146 is 2.

Also check out the Least Common Multiple of 4138 and 4146

Properties of GCF 4138 and 4146

(i) The GCF of 4138 and 4146 is associative

GCF of 4138 and 4146 = GCF of 4146 and 4138

Related Greatest Common Factor of 4138

Related Greatest Common Factor of 4146

Frequently Asked Questions on GCF of 4138 and 4146

1. What is the GCF of 4138 and 4146?

Answer: GCF of 4138 and 4146 is 2.

2. What are the Factors of 4138?

Answer: Factors of 4138 are 1, 2, 2069, 4138. There are 4 integers that are factors of 4138. The greatest factor of 4138 is 4138.

3. What are the Factors of 4146?

Answer: Factors of 4146 are 1, 2, 3, 6, 691, 1382, 2073, 4146. There are 8 integers that are factors of 4146. The greatest factor of 4146 is 4146.

4. How to Find the GCF of 4138 and 4146?

Answer:

Greatest Common Factor of 4138 and 4146 = 2

Step 1: Find the prime factorization of 4138

4138 = 2 x 2069

Step 2: Find the prime factorization of 4146

4146 = 2 x 3 x 691

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4138 and 4146 is 2