Greatest Common Factor of 8071 and 8078

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 8071, 8078 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8071 and 8078 is 7.

GCF(8071,8078) = 7

GCF of 8071 and 8078

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

GCF of:
and

Greatest Common Factor of 8071 and 8078

GCF of 8071 and 8078 is 7

Prime Factorization of 8071


7 8071
1153 1153
1

Prime factors of 8071 are 7,1153. Prime factorization of 8071 in exponential form is:

8071 = 71×11531

Prime Factorization of 8078


2 8078
7 4039
577 577
1

Prime factors of 8078 are 2,7,577. Prime factorization of 8078 in exponential form is:

8078 = 21×71×5771

∴ So by taking common prime factors GCF of 8071 and 8078 is 7

Greatest Common Factor of 8071 and 8078 by matching factors method

Factors of 8071

List of positive integer factors of 8071 that divides 8071 without a remainder.

1,7,1153,8071

Factors of 8078

List of positive integer factors of 8078 that divides 8078 without a remainder.

1,2,7,14,577,1154,4039,8078

Greatest Common Factor

We found the factors and prime factorization of 8071 and 8078. The biggest common factor number is the GCF number.
So the greatest common factor 8071 and 8078 is 7.

Also check out the Least Common Multiple of 8071 and 8078

Properties of GCF 8071 and 8078

(i) The GCF of 8071 and 8078 is associative

GCF of 8071 and 8078 = GCF of 8078 and 8071

Related Greatest Common Factor of 8071

Related Greatest Common Factor of 8078

Frequently Asked Questions on GCF of 8071 and 8078

1. What is the GCF of 8071 and 8078?

Answer: GCF of 8071 and 8078 is 7.

2. What are the Factors of 8071?

Answer: Factors of 8071 are 1, 7, 1153, 8071. There are 4 integers that are factors of 8071. The greatest factor of 8071 is 8071.

3. What are the Factors of 8078?

Answer: Factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078. There are 8 integers that are factors of 8078. The greatest factor of 8078 is 8078.

4. How to Find the GCF of 8071 and 8078?

Answer:

Greatest Common Factor of 8071 and 8078 = 7

Step 1: Find the prime factorization of 8071

8071 = 7 x 1153

Step 2: Find the prime factorization of 8078

8078 = 2 x 7 x 577

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8071 and 8078 is 7