Greatest Common Factor of 9525 and 9530

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, 9530 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9525 and 9530 is 5.

GCF(9525,9530) = 5

GCF of 9525 and 9530

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9525 and 9530

GCF of 9525 and 9530 is 5

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 9530


2 9530
5 4765
953 953
1

Prime factors of 9530 are 2,5,953. Prime factorization of 9530 in exponential form is:

9530 = 21×51×9531

∴ So by taking common prime factors GCF of 9525 and 9530 is 5

Greatest Common Factor of 9525 and 9530 by matching factors method

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 9530

List of positive integer factors of 9530 that divides 9530 without a remainder.

1,2,5,10,953,1906,4765,9530

Greatest Common Factor

We found the factors and prime factorization of 9525 and 9530. The biggest common factor number is the GCF number.
So the greatest common factor 9525 and 9530 is 5.

Also check out the Least Common Multiple of 9525 and 9530

Properties of GCF 9525 and 9530

(i) The GCF of 9525 and 9530 is associative

GCF of 9525 and 9530 = GCF of 9530 and 9525

Related Greatest Common Factor of 9525

Related Greatest Common Factor of 9530

Frequently Asked Questions on GCF of 9525 and 9530

1. What is the GCF of 9525 and 9530?

Answer: GCF of 9525 and 9530 is 5.

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 9530?

Answer: Factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530. There are 8 integers that are factors of 9530. The greatest factor of 9530 is 9530.

4. How to Find the GCF of 9525 and 9530?

Answer:

Greatest Common Factor of 9525 and 9530 = 5

Step 1: Find the prime factorization of 9525

9525 = 3 x 5 x 5 x 127

Step 2: Find the prime factorization of 9530

9530 = 2 x 5 x 953

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 9525 and 9530 is 5