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, 282 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 280 and 282 is 2.
GCF(280,282) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 282
2 | 282 |
3 | 141 |
47 | 47 |
1 |
Prime factors of 282 are 2,3,47. Prime factorization of 282 in exponential form is:
282 = 21×31×471
∴ So by taking common prime factors GCF of 280 and 282 is 2
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 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors and prime factorization of 280 and 282. The biggest common factor number is the GCF number.
So the greatest common factor 280 and 282 is 2.
Also check out the Least Common Multiple of 280 and 282
(i) The GCF of 280 and 282 is associative
GCF of 280 and 282 = GCF of 282 and 280
1. What is the GCF of 280 and 282?
Answer: GCF of 280 and 282 is 2.
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 282?
Answer: Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282. There are 8 integers that are factors of 282. The greatest factor of 282 is 282.
4. How to Find the GCF of 280 and 282?
Answer:
Greatest Common Factor of 280 and 282 = 2
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 282
282 = 2 x 3 x 47
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 280 and 282 is 2