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 9516, 9522 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9516 and 9522 is 6.
GCF(9516,9522) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9516
2 | 9516 |
2 | 4758 |
3 | 2379 |
13 | 793 |
61 | 61 |
1 |
Prime factors of 9516 are 2,3,13,61. Prime factorization of 9516 in exponential form is:
9516 = 22×31×131×611
Prime Factorization of 9522
2 | 9522 |
3 | 4761 |
3 | 1587 |
23 | 529 |
23 | 23 |
1 |
Prime factors of 9522 are 2,3,23. Prime factorization of 9522 in exponential form is:
9522 = 21×32×232
∴ So by taking common prime factors GCF of 9516 and 9522 is 6
Factors of 9516
List of positive integer factors of 9516 that divides 9516 without a remainder.
1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516
Factors of 9522
List of positive integer factors of 9522 that divides 9522 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414,529,1058,1587,3174,4761,9522
Greatest Common Factor
We found the factors and prime factorization of 9516 and 9522. The biggest common factor number is the GCF number.
So the greatest common factor 9516 and 9522 is 6.
Also check out the Least Common Multiple of 9516 and 9522
(i) The GCF of 9516 and 9522 is associative
GCF of 9516 and 9522 = GCF of 9522 and 9516
1. What is the GCF of 9516 and 9522?
Answer: GCF of 9516 and 9522 is 6.
2. What are the Factors of 9516?
Answer: Factors of 9516 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758, 9516. There are 24 integers that are factors of 9516. The greatest factor of 9516 is 9516.
3. What are the Factors of 9522?
Answer: Factors of 9522 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522. There are 18 integers that are factors of 9522. The greatest factor of 9522 is 9522.
4. How to Find the GCF of 9516 and 9522?
Answer:
Greatest Common Factor of 9516 and 9522 = 6
Step 1: Find the prime factorization of 9516
9516 = 2 x 2 x 3 x 13 x 61
Step 2: Find the prime factorization of 9522
9522 = 2 x 3 x 3 x 23 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 9516 and 9522 is 6