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 9915, 9920 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9915 and 9920 is 5.
GCF(9915,9920) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9915
3 | 9915 |
5 | 3305 |
661 | 661 |
1 |
Prime factors of 9915 are 3,5,661. Prime factorization of 9915 in exponential form is:
9915 = 31×51×6611
Prime Factorization of 9920
2 | 9920 |
2 | 4960 |
2 | 2480 |
2 | 1240 |
2 | 620 |
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 9920 are 2,5,31. Prime factorization of 9920 in exponential form is:
9920 = 26×51×311
∴ So by taking common prime factors GCF of 9915 and 9920 is 5
Factors of 9915
List of positive integer factors of 9915 that divides 9915 without a remainder.
1,3,5,15,661,1983,3305,9915
Factors of 9920
List of positive integer factors of 9920 that divides 9920 without a remainder.
1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920
Greatest Common Factor
We found the factors and prime factorization of 9915 and 9920. The biggest common factor number is the GCF number.
So the greatest common factor 9915 and 9920 is 5.
Also check out the Least Common Multiple of 9915 and 9920
(i) The GCF of 9915 and 9920 is associative
GCF of 9915 and 9920 = GCF of 9920 and 9915
1. What is the GCF of 9915 and 9920?
Answer: GCF of 9915 and 9920 is 5.
2. What are the Factors of 9915?
Answer: Factors of 9915 are 1, 3, 5, 15, 661, 1983, 3305, 9915. There are 8 integers that are factors of 9915. The greatest factor of 9915 is 9915.
3. What are the Factors of 9920?
Answer: Factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920. There are 28 integers that are factors of 9920. The greatest factor of 9920 is 9920.
4. How to Find the GCF of 9915 and 9920?
Answer:
Greatest Common Factor of 9915 and 9920 = 5
Step 1: Find the prime factorization of 9915
9915 = 3 x 5 x 661
Step 2: Find the prime factorization of 9920
9920 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 9915 and 9920 is 5