Greatest Common Factor of 4072 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 4072, 4077 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4072 and 4077 is 1.

GCF(4072,4077) = 1

GCF of 4072 and 4077

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

GCF of:
and

Greatest Common Factor of 4072 and 4077

GCF of 4072 and 4077 is 1

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

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 4072 and 4077 is 1

Greatest Common Factor of 4072 and 4077 by matching factors method

Factors of 4072

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

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

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 4072 and 4077. The biggest common factor number is the GCF number.
So the greatest common factor 4072 and 4077 is 1.

Also check out the Least Common Multiple of 4072 and 4077

Properties of GCF 4072 and 4077

(i) The GCF of 4072 and 4077 is associative

GCF of 4072 and 4077 = GCF of 4077 and 4072

Related Greatest Common Factor of 4072

Related Greatest Common Factor of 4077

Frequently Asked Questions on GCF of 4072 and 4077

1. What is the GCF of 4072 and 4077?

Answer: GCF of 4072 and 4077 is 1.

2. 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.

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 4072 and 4077?

Answer:

Greatest Common Factor of 4072 and 4077 = 1

Step 1: Find the prime factorization of 4072

4072 = 2 x 2 x 2 x 509

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 = = 1

Step 4: Therefore, the greatest common factor of 4072 and 4077 is 1