Greatest Common Factor of 4138 and 4145

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, 4145 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4138 and 4145 is 1.

GCF(4138,4145) = 1

GCF of 4138 and 4145

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

GCF of:
and

Greatest Common Factor of 4138 and 4145

GCF of 4138 and 4145 is 1

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 4145


5 4145
829 829
1

Prime factors of 4145 are 5,829. Prime factorization of 4145 in exponential form is:

4145 = 51×8291

∴ So by taking common prime factors GCF of 4138 and 4145 is 1

Greatest Common Factor of 4138 and 4145 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 4145

List of positive integer factors of 4145 that divides 4145 without a remainder.

1,5,829,4145

Greatest Common Factor

We found the factors and prime factorization of 4138 and 4145. The biggest common factor number is the GCF number.
So the greatest common factor 4138 and 4145 is 1.

Also check out the Least Common Multiple of 4138 and 4145

Properties of GCF 4138 and 4145

(i) The GCF of 4138 and 4145 is associative

GCF of 4138 and 4145 = GCF of 4145 and 4138

Related Greatest Common Factor of 4138

Related Greatest Common Factor of 4145

Frequently Asked Questions on GCF of 4138 and 4145

1. What is the GCF of 4138 and 4145?

Answer: GCF of 4138 and 4145 is 1.

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 4145?

Answer: Factors of 4145 are 1, 5, 829, 4145. There are 4 integers that are factors of 4145. The greatest factor of 4145 is 4145.

4. How to Find the GCF of 4138 and 4145?

Answer:

Greatest Common Factor of 4138 and 4145 = 1

Step 1: Find the prime factorization of 4138

4138 = 2 x 2069

Step 2: Find the prime factorization of 4145

4145 = 5 x 829

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 4138 and 4145 is 1