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 9773, 9780 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9773 and 9780 is 1.
GCF(9773,9780) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9773
29 | 9773 |
337 | 337 |
1 |
Prime factors of 9773 are 29,337. Prime factorization of 9773 in exponential form is:
9773 = 291×3371
Prime Factorization of 9780
2 | 9780 |
2 | 4890 |
3 | 2445 |
5 | 815 |
163 | 163 |
1 |
Prime factors of 9780 are 2,3,5,163. Prime factorization of 9780 in exponential form is:
9780 = 22×31×51×1631
∴ So by taking common prime factors GCF of 9773 and 9780 is 1
Factors of 9773
List of positive integer factors of 9773 that divides 9773 without a remainder.
1,29,337,9773
Factors of 9780
List of positive integer factors of 9780 that divides 9780 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780
Greatest Common Factor
We found the factors and prime factorization of 9773 and 9780. The biggest common factor number is the GCF number.
So the greatest common factor 9773 and 9780 is 1.
Also check out the Least Common Multiple of 9773 and 9780
(i) The GCF of 9773 and 9780 is associative
GCF of 9773 and 9780 = GCF of 9780 and 9773
1. What is the GCF of 9773 and 9780?
Answer: GCF of 9773 and 9780 is 1.
2. What are the Factors of 9773?
Answer: Factors of 9773 are 1, 29, 337, 9773. There are 4 integers that are factors of 9773. The greatest factor of 9773 is 9773.
3. What are the Factors of 9780?
Answer: Factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780. There are 24 integers that are factors of 9780. The greatest factor of 9780 is 9780.
4. How to Find the GCF of 9773 and 9780?
Answer:
Greatest Common Factor of 9773 and 9780 = 1
Step 1: Find the prime factorization of 9773
9773 = 29 x 337
Step 2: Find the prime factorization of 9780
9780 = 2 x 2 x 3 x 5 x 163
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 9773 and 9780 is 1