Greatest Common Factor of 4066 and 4072

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 4066, 4072 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4066 and 4072 is 2.

GCF(4066,4072) = 2

GCF of 4066 and 4072

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

GCF of:
and

Greatest Common Factor of 4066 and 4072

GCF of 4066 and 4072 is 2

Prime Factorization of 4066


2 4066
19 2033
107 107
1

Prime factors of 4066 are 2,19,107. Prime factorization of 4066 in exponential form is:

4066 = 21×191×1071

Prime Factorization of 4072


2 4072
2 2036
2 1018
509 509
1

Prime factors of 4072 are 2,509. Prime factorization of 4072 in exponential form is:

4072 = 23×5091

∴ So by taking common prime factors GCF of 4066 and 4072 is 2

Greatest Common Factor of 4066 and 4072 by matching factors method

Factors of 4066

List of positive integer factors of 4066 that divides 4066 without a remainder.

1,2,19,38,107,214,2033,4066

Factors of 4072

List of positive integer factors of 4072 that divides 4072 without a remainder.

1,2,4,8,509,1018,2036,4072

Greatest Common Factor

We found the factors and prime factorization of 4066 and 4072. The biggest common factor number is the GCF number.
So the greatest common factor 4066 and 4072 is 2.

Also check out the Least Common Multiple of 4066 and 4072

Properties of GCF 4066 and 4072

(i) The GCF of 4066 and 4072 is associative

GCF of 4066 and 4072 = GCF of 4072 and 4066

Related Greatest Common Factor of 4066

Related Greatest Common Factor of 4072

Frequently Asked Questions on GCF of 4066 and 4072

1. What is the GCF of 4066 and 4072?

Answer: GCF of 4066 and 4072 is 2.

2. What are the Factors of 4066?

Answer: Factors of 4066 are 1, 2, 19, 38, 107, 214, 2033, 4066. There are 8 integers that are factors of 4066. The greatest factor of 4066 is 4066.

3. What are the Factors of 4072?

Answer: Factors of 4072 are 1, 2, 4, 8, 509, 1018, 2036, 4072. There are 8 integers that are factors of 4072. The greatest factor of 4072 is 4072.

4. How to Find the GCF of 4066 and 4072?

Answer:

Greatest Common Factor of 4066 and 4072 = 2

Step 1: Find the prime factorization of 4066

4066 = 2 x 19 x 107

Step 2: Find the prime factorization of 4072

4072 = 2 x 2 x 2 x 509

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 4066 and 4072 is 2