Greatest Common Factor of 8078 and 8085

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 8078, 8085 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8078 and 8085 is 7.

GCF(8078,8085) = 7

GCF of 8078 and 8085

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

GCF of:
and

Greatest Common Factor of 8078 and 8085

GCF of 8078 and 8085 is 7

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

Prime Factorization of 8085


3 8085
5 2695
7 539
7 77
11 11
1

Prime factors of 8085 are 3,5,7,11. Prime factorization of 8085 in exponential form is:

8085 = 31×51×72×111

∴ So by taking common prime factors GCF of 8078 and 8085 is 7

Greatest Common Factor of 8078 and 8085 by matching factors method

Factors of 8078

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

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

Factors of 8085

List of positive integer factors of 8085 that divides 8085 without a remainder.

1,3,5,7,11,15,21,33,35,49,55,77,105,147,165,231,245,385,539,735,1155,1617,2695,8085

Greatest Common Factor

We found the factors and prime factorization of 8078 and 8085. The biggest common factor number is the GCF number.
So the greatest common factor 8078 and 8085 is 7.

Also check out the Least Common Multiple of 8078 and 8085

Properties of GCF 8078 and 8085

(i) The GCF of 8078 and 8085 is associative

GCF of 8078 and 8085 = GCF of 8085 and 8078

Related Greatest Common Factor of 8078

Related Greatest Common Factor of 8085

Frequently Asked Questions on GCF of 8078 and 8085

1. What is the GCF of 8078 and 8085?

Answer: GCF of 8078 and 8085 is 7.

2. 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.

3. What are the Factors of 8085?

Answer: Factors of 8085 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085. There are 24 integers that are factors of 8085. The greatest factor of 8085 is 8085.

4. How to Find the GCF of 8078 and 8085?

Answer:

Greatest Common Factor of 8078 and 8085 = 7

Step 1: Find the prime factorization of 8078

8078 = 2 x 7 x 577

Step 2: Find the prime factorization of 8085

8085 = 3 x 5 x 7 x 7 x 11

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 8078 and 8085 is 7