Greatest Common Factor of 280 and 285

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 280, 285 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 280 and 285 is 5.

GCF(280,285) = 5

GCF of 280 and 285

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

GCF of:
and

Greatest Common Factor of 280 and 285

GCF of 280 and 285 is 5

Prime Factorization of 280


2 280
2 140
2 70
5 35
7 7
1

Prime factors of 280 are 2,5,7. Prime factorization of 280 in exponential form is:

280 = 23×51×71

Prime Factorization of 285


3 285
5 95
19 19
1

Prime factors of 285 are 3,5,19. Prime factorization of 285 in exponential form is:

285 = 31×51×191

∴ So by taking common prime factors GCF of 280 and 285 is 5

Greatest Common Factor of 280 and 285 by matching factors method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors and prime factorization of 280 and 285. The biggest common factor number is the GCF number.
So the greatest common factor 280 and 285 is 5.

Also check out the Least Common Multiple of 280 and 285

Properties of GCF 280 and 285

(i) The GCF of 280 and 285 is associative

GCF of 280 and 285 = GCF of 285 and 280

Related Greatest Common Factor of 280

Related Greatest Common Factor of 285

Frequently Asked Questions on GCF of 280 and 285

1. What is the GCF of 280 and 285?

Answer: GCF of 280 and 285 is 5.

2. What are the Factors of 280?

Answer: Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. There are 16 integers that are factors of 280. The greatest factor of 280 is 280.

3. What are the Factors of 285?

Answer: Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. There are 8 integers that are factors of 285. The greatest factor of 285 is 285.

4. How to Find the GCF of 280 and 285?

Answer:

Greatest Common Factor of 280 and 285 = 5

Step 1: Find the prime factorization of 280

280 = 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 285

285 = 3 x 5 x 19

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 280 and 285 is 5