Greatest Common Factor of 8072 and 8079

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 8072, 8079 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8072 and 8079 is 1.

GCF(8072,8079) = 1

GCF of 8072 and 8079

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

GCF of:
and

Greatest Common Factor of 8072 and 8079

GCF of 8072 and 8079 is 1

Prime Factorization of 8072


2 8072
2 4036
2 2018
1009 1009
1

Prime factors of 8072 are 2,1009. Prime factorization of 8072 in exponential form is:

8072 = 23×10091

Prime Factorization of 8079


3 8079
2693 2693
1

Prime factors of 8079 are 3,2693. Prime factorization of 8079 in exponential form is:

8079 = 31×26931

∴ So by taking common prime factors GCF of 8072 and 8079 is 1

Greatest Common Factor of 8072 and 8079 by matching factors method

Factors of 8072

List of positive integer factors of 8072 that divides 8072 without a remainder.

1,2,4,8,1009,2018,4036,8072

Factors of 8079

List of positive integer factors of 8079 that divides 8079 without a remainder.

1,3,2693,8079

Greatest Common Factor

We found the factors and prime factorization of 8072 and 8079. The biggest common factor number is the GCF number.
So the greatest common factor 8072 and 8079 is 1.

Also check out the Least Common Multiple of 8072 and 8079

Properties of GCF 8072 and 8079

(i) The GCF of 8072 and 8079 is associative

GCF of 8072 and 8079 = GCF of 8079 and 8072

Related Greatest Common Factor of 8072

Related Greatest Common Factor of 8079

Frequently Asked Questions on GCF of 8072 and 8079

1. What is the GCF of 8072 and 8079?

Answer: GCF of 8072 and 8079 is 1.

2. What are the Factors of 8072?

Answer: Factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072. There are 8 integers that are factors of 8072. The greatest factor of 8072 is 8072.

3. What are the Factors of 8079?

Answer: Factors of 8079 are 1, 3, 2693, 8079. There are 4 integers that are factors of 8079. The greatest factor of 8079 is 8079.

4. How to Find the GCF of 8072 and 8079?

Answer:

Greatest Common Factor of 8072 and 8079 = 1

Step 1: Find the prime factorization of 8072

8072 = 2 x 2 x 2 x 1009

Step 2: Find the prime factorization of 8079

8079 = 3 x 2693

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 8072 and 8079 is 1