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, 283 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 280 and 283 is 1.
GCF(280,283) = 1
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 283
283 | 283 |
1 |
Prime factors of 283 are 283. Prime factorization of 283 in exponential form is:
283 = 2831
∴ So by taking common prime factors GCF of 280 and 283 is 1
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 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors and prime factorization of 280 and 283. The biggest common factor number is the GCF number.
So the greatest common factor 280 and 283 is 1.
Also check out the Least Common Multiple of 280 and 283
(i) The GCF of 280 and 283 is associative
GCF of 280 and 283 = GCF of 283 and 280
1. What is the GCF of 280 and 283?
Answer: GCF of 280 and 283 is 1.
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 283?
Answer: Factors of 283 are 1, 283. There are 2 integers that are factors of 283. The greatest factor of 283 is 283.
4. How to Find the GCF of 280 and 283?
Answer:
Greatest Common Factor of 280 and 283 = 1
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 283
283 = 283
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 280 and 283 is 1