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 9802, 9804 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9802 and 9804 is 2.
GCF(9802,9804) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9802
2 | 9802 |
13 | 4901 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 9802 are 2,13,29. Prime factorization of 9802 in exponential form is:
9802 = 21×132×291
Prime Factorization of 9804
2 | 9804 |
2 | 4902 |
3 | 2451 |
19 | 817 |
43 | 43 |
1 |
Prime factors of 9804 are 2,3,19,43. Prime factorization of 9804 in exponential form is:
9804 = 22×31×191×431
∴ So by taking common prime factors GCF of 9802 and 9804 is 2
Factors of 9802
List of positive integer factors of 9802 that divides 9802 without a remainder.
1,2,13,26,29,58,169,338,377,754,4901,9802
Factors of 9804
List of positive integer factors of 9804 that divides 9804 without a remainder.
1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804
Greatest Common Factor
We found the factors and prime factorization of 9802 and 9804. The biggest common factor number is the GCF number.
So the greatest common factor 9802 and 9804 is 2.
Also check out the Least Common Multiple of 9802 and 9804
(i) The GCF of 9802 and 9804 is associative
GCF of 9802 and 9804 = GCF of 9804 and 9802
1. What is the GCF of 9802 and 9804?
Answer: GCF of 9802 and 9804 is 2.
2. What are the Factors of 9802?
Answer: Factors of 9802 are 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802. There are 12 integers that are factors of 9802. The greatest factor of 9802 is 9802.
3. What are the Factors of 9804?
Answer: Factors of 9804 are 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804. There are 24 integers that are factors of 9804. The greatest factor of 9804 is 9804.
4. How to Find the GCF of 9802 and 9804?
Answer:
Greatest Common Factor of 9802 and 9804 = 2
Step 1: Find the prime factorization of 9802
9802 = 2 x 13 x 13 x 29
Step 2: Find the prime factorization of 9804
9804 = 2 x 2 x 3 x 19 x 43
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 9802 and 9804 is 2