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 287, 290 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 287 and 290 is 1.
GCF(287,290) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 287
7 | 287 |
41 | 41 |
1 |
Prime factors of 287 are 7,41. Prime factorization of 287 in exponential form is:
287 = 71×411
Prime Factorization of 290
2 | 290 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 290 are 2,5,29. Prime factorization of 290 in exponential form is:
290 = 21×51×291
∴ So by taking common prime factors GCF of 287 and 290 is 1
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors and prime factorization of 287 and 290. The biggest common factor number is the GCF number.
So the greatest common factor 287 and 290 is 1.
Also check out the Least Common Multiple of 287 and 290
(i) The GCF of 287 and 290 is associative
GCF of 287 and 290 = GCF of 290 and 287
1. What is the GCF of 287 and 290?
Answer: GCF of 287 and 290 is 1.
2. What are the Factors of 287?
Answer: Factors of 287 are 1, 7, 41, 287. There are 4 integers that are factors of 287. The greatest factor of 287 is 287.
3. What are the Factors of 290?
Answer: Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290. There are 8 integers that are factors of 290. The greatest factor of 290 is 290.
4. How to Find the GCF of 287 and 290?
Answer:
Greatest Common Factor of 287 and 290 = 1
Step 1: Find the prime factorization of 287
287 = 7 x 41
Step 2: Find the prime factorization of 290
290 = 2 x 5 x 29
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 287 and 290 is 1