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 9520, 9525 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9520 and 9525 is 5.
GCF(9520,9525) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9520
2 | 9520 |
2 | 4760 |
2 | 2380 |
2 | 1190 |
5 | 595 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 9520 are 2,5,7,17. Prime factorization of 9520 in exponential form is:
9520 = 24×51×71×171
Prime Factorization of 9525
3 | 9525 |
5 | 3175 |
5 | 635 |
127 | 127 |
1 |
Prime factors of 9525 are 3,5,127. Prime factorization of 9525 in exponential form is:
9525 = 31×52×1271
∴ So by taking common prime factors GCF of 9520 and 9525 is 5
Factors of 9520
List of positive integer factors of 9520 that divides 9520 without a remainder.
1,2,4,5,7,8,10,14,16,17,20,28,34,35,40,56,68,70,80,85,112,119,136,140,170,238,272,280,340,476,560,595,680,952,1190,1360,1904,2380,4760,9520
Factors of 9525
List of positive integer factors of 9525 that divides 9525 without a remainder.
1,3,5,15,25,75,127,381,635,1905,3175,9525
Greatest Common Factor
We found the factors and prime factorization of 9520 and 9525. The biggest common factor number is the GCF number.
So the greatest common factor 9520 and 9525 is 5.
Also check out the Least Common Multiple of 9520 and 9525
(i) The GCF of 9520 and 9525 is associative
GCF of 9520 and 9525 = GCF of 9525 and 9520
1. What is the GCF of 9520 and 9525?
Answer: GCF of 9520 and 9525 is 5.
2. What are the Factors of 9520?
Answer: Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520. There are 40 integers that are factors of 9520. The greatest factor of 9520 is 9520.
3. What are the Factors of 9525?
Answer: Factors of 9525 are 1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525. There are 12 integers that are factors of 9525. The greatest factor of 9525 is 9525.
4. How to Find the GCF of 9520 and 9525?
Answer:
Greatest Common Factor of 9520 and 9525 = 5
Step 1: Find the prime factorization of 9520
9520 = 2 x 2 x 2 x 2 x 5 x 7 x 17
Step 2: Find the prime factorization of 9525
9525 = 3 x 5 x 5 x 127
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 9520 and 9525 is 5