Greatest Common Factor of 9518 and 9525

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 9518, 9525 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9518 and 9525 is 1.

GCF(9518,9525) = 1

GCF of 9518 and 9525

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

GCF of:
and

Greatest Common Factor of 9518 and 9525

GCF of 9518 and 9525 is 1

Prime Factorization of 9518


2 9518
4759 4759
1

Prime factors of 9518 are 2,4759. Prime factorization of 9518 in exponential form is:

9518 = 21×47591

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 9518 and 9525 is 1

Greatest Common Factor of 9518 and 9525 by matching factors method

Factors of 9518

List of positive integer factors of 9518 that divides 9518 without a remainder.

1,2,4759,9518

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 9518 and 9525. The biggest common factor number is the GCF number.
So the greatest common factor 9518 and 9525 is 1.

Also check out the Least Common Multiple of 9518 and 9525

Properties of GCF 9518 and 9525

(i) The GCF of 9518 and 9525 is associative

GCF of 9518 and 9525 = GCF of 9525 and 9518

Related Greatest Common Factor of 9518

Related Greatest Common Factor of 9525

Frequently Asked Questions on GCF of 9518 and 9525

1. What is the GCF of 9518 and 9525?

Answer: GCF of 9518 and 9525 is 1.

2. What are the Factors of 9518?

Answer: Factors of 9518 are 1, 2, 4759, 9518. There are 4 integers that are factors of 9518. The greatest factor of 9518 is 9518.

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 9518 and 9525?

Answer:

Greatest Common Factor of 9518 and 9525 = 1

Step 1: Find the prime factorization of 9518

9518 = 2 x 4759

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 = = 1

Step 4: Therefore, the greatest common factor of 9518 and 9525 is 1