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 9525, 9531 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9525 and 9531 is 3.
GCF(9525,9531) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9531
3 | 9531 |
3 | 3177 |
3 | 1059 |
353 | 353 |
1 |
Prime factors of 9531 are 3,353. Prime factorization of 9531 in exponential form is:
9531 = 33×3531
∴ So by taking common prime factors GCF of 9525 and 9531 is 3
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
Factors of 9531
List of positive integer factors of 9531 that divides 9531 without a remainder.
1,3,9,27,353,1059,3177,9531
Greatest Common Factor
We found the factors and prime factorization of 9525 and 9531. The biggest common factor number is the GCF number.
So the greatest common factor 9525 and 9531 is 3.
Also check out the Least Common Multiple of 9525 and 9531
(i) The GCF of 9525 and 9531 is associative
GCF of 9525 and 9531 = GCF of 9531 and 9525
1. What is the GCF of 9525 and 9531?
Answer: GCF of 9525 and 9531 is 3.
2. 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.
3. What are the Factors of 9531?
Answer: Factors of 9531 are 1, 3, 9, 27, 353, 1059, 3177, 9531. There are 8 integers that are factors of 9531. The greatest factor of 9531 is 9531.
4. How to Find the GCF of 9525 and 9531?
Answer:
Greatest Common Factor of 9525 and 9531 = 3
Step 1: Find the prime factorization of 9525
9525 = 3 x 5 x 5 x 127
Step 2: Find the prime factorization of 9531
9531 = 3 x 3 x 3 x 353
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 9525 and 9531 is 3