Greatest Common Factor of 4138 and 4144

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, 4144 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4138 and 4144 is 2.

GCF(4138,4144) = 2

GCF of 4138 and 4144

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

GCF of:
and

Greatest Common Factor of 4138 and 4144

GCF of 4138 and 4144 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 4144


2 4144
2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 4144 are 2,7,37. Prime factorization of 4144 in exponential form is:

4144 = 24×71×371

∴ So by taking common prime factors GCF of 4138 and 4144 is 2

Greatest Common Factor of 4138 and 4144 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 4144

List of positive integer factors of 4144 that divides 4144 without a remainder.

1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144

Greatest Common Factor

We found the factors and prime factorization of 4138 and 4144. The biggest common factor number is the GCF number.
So the greatest common factor 4138 and 4144 is 2.

Also check out the Least Common Multiple of 4138 and 4144

Properties of GCF 4138 and 4144

(i) The GCF of 4138 and 4144 is associative

GCF of 4138 and 4144 = GCF of 4144 and 4138

Related Greatest Common Factor of 4138

Related Greatest Common Factor of 4144

Frequently Asked Questions on GCF of 4138 and 4144

1. What is the GCF of 4138 and 4144?

Answer: GCF of 4138 and 4144 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 4144?

Answer: Factors of 4144 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144. There are 20 integers that are factors of 4144. The greatest factor of 4144 is 4144.

4. How to Find the GCF of 4138 and 4144?

Answer:

Greatest Common Factor of 4138 and 4144 = 2

Step 1: Find the prime factorization of 4138

4138 = 2 x 2069

Step 2: Find the prime factorization of 4144

4144 = 2 x 2 x 2 x 2 x 7 x 37

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 4144 is 2