Greatest Common Factor of 4071 and 4077

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 4071, 4077 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4071 and 4077 is 3.

GCF(4071,4077) = 3

GCF of 4071 and 4077

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

GCF of:
and

Greatest Common Factor of 4071 and 4077

GCF of 4071 and 4077 is 3

Prime Factorization of 4071


3 4071
23 1357
59 59
1

Prime factors of 4071 are 3,23,59. Prime factorization of 4071 in exponential form is:

4071 = 31×231×591

Prime Factorization of 4077


3 4077
3 1359
3 453
151 151
1

Prime factors of 4077 are 3,151. Prime factorization of 4077 in exponential form is:

4077 = 33×1511

∴ So by taking common prime factors GCF of 4071 and 4077 is 3

Greatest Common Factor of 4071 and 4077 by matching factors method

Factors of 4071

List of positive integer factors of 4071 that divides 4071 without a remainder.

1,3,23,59,69,177,1357,4071

Factors of 4077

List of positive integer factors of 4077 that divides 4077 without a remainder.

1,3,9,27,151,453,1359,4077

Greatest Common Factor

We found the factors and prime factorization of 4071 and 4077. The biggest common factor number is the GCF number.
So the greatest common factor 4071 and 4077 is 3.

Also check out the Least Common Multiple of 4071 and 4077

Properties of GCF 4071 and 4077

(i) The GCF of 4071 and 4077 is associative

GCF of 4071 and 4077 = GCF of 4077 and 4071

Related Greatest Common Factor of 4071

Related Greatest Common Factor of 4077

Frequently Asked Questions on GCF of 4071 and 4077

1. What is the GCF of 4071 and 4077?

Answer: GCF of 4071 and 4077 is 3.

2. What are the Factors of 4071?

Answer: Factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071. There are 8 integers that are factors of 4071. The greatest factor of 4071 is 4071.

3. What are the Factors of 4077?

Answer: Factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077. There are 8 integers that are factors of 4077. The greatest factor of 4077 is 4077.

4. How to Find the GCF of 4071 and 4077?

Answer:

Greatest Common Factor of 4071 and 4077 = 3

Step 1: Find the prime factorization of 4071

4071 = 3 x 23 x 59

Step 2: Find the prime factorization of 4077

4077 = 3 x 3 x 3 x 151

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4071 and 4077 is 3