Greatest Common Factor of 4065 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 4065, 4072 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4065 and 4072 is 1.

GCF(4065,4072) = 1

GCF of 4065 and 4072

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

GCF of:
and

Greatest Common Factor of 4065 and 4072

GCF of 4065 and 4072 is 1

Prime Factorization of 4065


3 4065
5 1355
271 271
1

Prime factors of 4065 are 3,5,271. Prime factorization of 4065 in exponential form is:

4065 = 31×51×2711

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 4065 and 4072 is 1

Greatest Common Factor of 4065 and 4072 by matching factors method

Factors of 4065

List of positive integer factors of 4065 that divides 4065 without a remainder.

1,3,5,15,271,813,1355,4065

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 4065 and 4072. The biggest common factor number is the GCF number.
So the greatest common factor 4065 and 4072 is 1.

Also check out the Least Common Multiple of 4065 and 4072

Properties of GCF 4065 and 4072

(i) The GCF of 4065 and 4072 is associative

GCF of 4065 and 4072 = GCF of 4072 and 4065

Related Greatest Common Factor of 4065

Related Greatest Common Factor of 4072

Frequently Asked Questions on GCF of 4065 and 4072

1. What is the GCF of 4065 and 4072?

Answer: GCF of 4065 and 4072 is 1.

2. What are the Factors of 4065?

Answer: Factors of 4065 are 1, 3, 5, 15, 271, 813, 1355, 4065. There are 8 integers that are factors of 4065. The greatest factor of 4065 is 4065.

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 4065 and 4072?

Answer:

Greatest Common Factor of 4065 and 4072 = 1

Step 1: Find the prime factorization of 4065

4065 = 3 x 5 x 271

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 = = 1

Step 4: Therefore, the greatest common factor of 4065 and 4072 is 1