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 9477, 9480 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9477 and 9480 is 3.
GCF(9477,9480) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9477
3 | 9477 |
3 | 3159 |
3 | 1053 |
3 | 351 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 9477 are 3,13. Prime factorization of 9477 in exponential form is:
9477 = 36×131
Prime Factorization of 9480
2 | 9480 |
2 | 4740 |
2 | 2370 |
3 | 1185 |
5 | 395 |
79 | 79 |
1 |
Prime factors of 9480 are 2,3,5,79. Prime factorization of 9480 in exponential form is:
9480 = 23×31×51×791
∴ So by taking common prime factors GCF of 9477 and 9480 is 3
Factors of 9477
List of positive integer factors of 9477 that divides 9477 without a remainder.
1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477
Factors of 9480
List of positive integer factors of 9480 that divides 9480 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,79,120,158,237,316,395,474,632,790,948,1185,1580,1896,2370,3160,4740,9480
Greatest Common Factor
We found the factors and prime factorization of 9477 and 9480. The biggest common factor number is the GCF number.
So the greatest common factor 9477 and 9480 is 3.
Also check out the Least Common Multiple of 9477 and 9480
(i) The GCF of 9477 and 9480 is associative
GCF of 9477 and 9480 = GCF of 9480 and 9477
1. What is the GCF of 9477 and 9480?
Answer: GCF of 9477 and 9480 is 3.
2. What are the Factors of 9477?
Answer: Factors of 9477 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477. There are 14 integers that are factors of 9477. The greatest factor of 9477 is 9477.
3. What are the Factors of 9480?
Answer: Factors of 9480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480. There are 32 integers that are factors of 9480. The greatest factor of 9480 is 9480.
4. How to Find the GCF of 9477 and 9480?
Answer:
Greatest Common Factor of 9477 and 9480 = 3
Step 1: Find the prime factorization of 9477
9477 = 3 x 3 x 3 x 3 x 3 x 3 x 13
Step 2: Find the prime factorization of 9480
9480 = 2 x 2 x 2 x 3 x 5 x 79
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9477 and 9480 is 3