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 9780, 9782 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9780 and 9782 is 2.
GCF(9780,9782) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9782
2 | 9782 |
67 | 4891 |
73 | 73 |
1 |
Prime factors of 9782 are 2,67,73. Prime factorization of 9782 in exponential form is:
9782 = 21×671×731
∴ So by taking common prime factors GCF of 9780 and 9782 is 2
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
Factors of 9782
List of positive integer factors of 9782 that divides 9782 without a remainder.
1,2,67,73,134,146,4891,9782
Greatest Common Factor
We found the factors and prime factorization of 9780 and 9782. The biggest common factor number is the GCF number.
So the greatest common factor 9780 and 9782 is 2.
Also check out the Least Common Multiple of 9780 and 9782
(i) The GCF of 9780 and 9782 is associative
GCF of 9780 and 9782 = GCF of 9782 and 9780
1. What is the GCF of 9780 and 9782?
Answer: GCF of 9780 and 9782 is 2.
2. 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.
3. What are the Factors of 9782?
Answer: Factors of 9782 are 1, 2, 67, 73, 134, 146, 4891, 9782. There are 8 integers that are factors of 9782. The greatest factor of 9782 is 9782.
4. How to Find the GCF of 9780 and 9782?
Answer:
Greatest Common Factor of 9780 and 9782 = 2
Step 1: Find the prime factorization of 9780
9780 = 2 x 2 x 3 x 5 x 163
Step 2: Find the prime factorization of 9782
9782 = 2 x 67 x 73
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 9780 and 9782 is 2