Greatest Common Factor of 80 and 85

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 80, 85 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 80 and 85 is 5.

GCF(80,85) = 5

GCF of 80 and 85

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

GCF of:
and

Greatest Common Factor of 80 and 85

GCF of 80 and 85 is 5

Prime Factorization of 80


2 80
2 40
2 20
2 10
5 5
1

Prime factors of 80 are 2,5. Prime factorization of 80 in exponential form is:

80 = 24×51

Prime Factorization of 85


5 85
17 17
1

Prime factors of 85 are 5,17. Prime factorization of 85 in exponential form is:

85 = 51×171

∴ So by taking common prime factors GCF of 80 and 85 is 5

Greatest Common Factor of 80 and 85 by matching factors method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Greatest Common Factor

We found the factors and prime factorization of 80 and 85. The biggest common factor number is the GCF number.
So the greatest common factor 80 and 85 is 5.

Also check out the Least Common Multiple of 80 and 85

Properties of GCF 80 and 85

(i) The GCF of 80 and 85 is associative

GCF of 80 and 85 = GCF of 85 and 80

Related Greatest Common Factor of 80

Related Greatest Common Factor of 85

Frequently Asked Questions on GCF of 80 and 85

1. What is the GCF of 80 and 85?

Answer: GCF of 80 and 85 is 5.

2. What are the Factors of 80?

Answer: Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. There are 10 integers that are factors of 80. The greatest factor of 80 is 80.

3. What are the Factors of 85?

Answer: Factors of 85 are 1, 5, 17, 85. There are 4 integers that are factors of 85. The greatest factor of 85 is 85.

4. How to Find the GCF of 80 and 85?

Answer:

Greatest Common Factor of 80 and 85 = 5

Step 1: Find the prime factorization of 80

80 = 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 85

85 = 5 x 17

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

GCF = 5

Step 4: Therefore, the greatest common factor of 80 and 85 is 5