Greatest Common Factor of 4132 and 4138

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 4132, 4138 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4132 and 4138 is 2.

GCF(4132,4138) = 2

GCF of 4132 and 4138

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

GCF of:
and

Greatest Common Factor of 4132 and 4138

GCF of 4132 and 4138 is 2

Prime Factorization of 4132


2 4132
2 2066
1033 1033
1

Prime factors of 4132 are 2,1033. Prime factorization of 4132 in exponential form is:

4132 = 22×10331

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

∴ So by taking common prime factors GCF of 4132 and 4138 is 2

Greatest Common Factor of 4132 and 4138 by matching factors method

Factors of 4132

List of positive integer factors of 4132 that divides 4132 without a remainder.

1,2,4,1033,2066,4132

Factors of 4138

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

1,2,2069,4138

Greatest Common Factor

We found the factors and prime factorization of 4132 and 4138. The biggest common factor number is the GCF number.
So the greatest common factor 4132 and 4138 is 2.

Also check out the Least Common Multiple of 4132 and 4138

Properties of GCF 4132 and 4138

(i) The GCF of 4132 and 4138 is associative

GCF of 4132 and 4138 = GCF of 4138 and 4132

Related Greatest Common Factor of 4132

Related Greatest Common Factor of 4138

Frequently Asked Questions on GCF of 4132 and 4138

1. What is the GCF of 4132 and 4138?

Answer: GCF of 4132 and 4138 is 2.

2. What are the Factors of 4132?

Answer: Factors of 4132 are 1, 2, 4, 1033, 2066, 4132. There are 6 integers that are factors of 4132. The greatest factor of 4132 is 4132.

3. 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.

4. How to Find the GCF of 4132 and 4138?

Answer:

Greatest Common Factor of 4132 and 4138 = 2

Step 1: Find the prime factorization of 4132

4132 = 2 x 2 x 1033

Step 2: Find the prime factorization of 4138

4138 = 2 x 2069

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 4132 and 4138 is 2