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 9625, 9632 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9625 and 9632 is 7.
GCF(9625,9632) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9625
5 | 9625 |
5 | 1925 |
5 | 385 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 9625 are 5,7,11. Prime factorization of 9625 in exponential form is:
9625 = 53×71×111
Prime Factorization of 9632
2 | 9632 |
2 | 4816 |
2 | 2408 |
2 | 1204 |
2 | 602 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 9632 are 2,7,43. Prime factorization of 9632 in exponential form is:
9632 = 25×71×431
∴ So by taking common prime factors GCF of 9625 and 9632 is 7
Factors of 9625
List of positive integer factors of 9625 that divides 9625 without a remainder.
1,5,7,11,25,35,55,77,125,175,275,385,875,1375,1925,9625
Factors of 9632
List of positive integer factors of 9632 that divides 9632 without a remainder.
1,2,4,7,8,14,16,28,32,43,56,86,112,172,224,301,344,602,688,1204,1376,2408,4816,9632
Greatest Common Factor
We found the factors and prime factorization of 9625 and 9632. The biggest common factor number is the GCF number.
So the greatest common factor 9625 and 9632 is 7.
Also check out the Least Common Multiple of 9625 and 9632
(i) The GCF of 9625 and 9632 is associative
GCF of 9625 and 9632 = GCF of 9632 and 9625
1. What is the GCF of 9625 and 9632?
Answer: GCF of 9625 and 9632 is 7.
2. What are the Factors of 9625?
Answer: Factors of 9625 are 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625. There are 16 integers that are factors of 9625. The greatest factor of 9625 is 9625.
3. What are the Factors of 9632?
Answer: Factors of 9632 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632. There are 24 integers that are factors of 9632. The greatest factor of 9632 is 9632.
4. How to Find the GCF of 9625 and 9632?
Answer:
Greatest Common Factor of 9625 and 9632 = 7
Step 1: Find the prime factorization of 9625
9625 = 5 x 5 x 5 x 7 x 11
Step 2: Find the prime factorization of 9632
9632 = 2 x 2 x 2 x 2 x 2 x 7 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 9625 and 9632 is 7