Greatest Common Factor of 9505 and 9509

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 9505, 9509 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9505 and 9509 is 1.

GCF(9505,9509) = 1

GCF of 9505 and 9509

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

GCF of:
and

Greatest Common Factor of 9505 and 9509

GCF of 9505 and 9509 is 1

Prime Factorization of 9505


5 9505
1901 1901
1

Prime factors of 9505 are 5,1901. Prime factorization of 9505 in exponential form is:

9505 = 51×19011

Prime Factorization of 9509


37 9509
257 257
1

Prime factors of 9509 are 37,257. Prime factorization of 9509 in exponential form is:

9509 = 371×2571

∴ So by taking common prime factors GCF of 9505 and 9509 is 1

Greatest Common Factor of 9505 and 9509 by matching factors method

Factors of 9505

List of positive integer factors of 9505 that divides 9505 without a remainder.

1,5,1901,9505

Factors of 9509

List of positive integer factors of 9509 that divides 9509 without a remainder.

1,37,257,9509

Greatest Common Factor

We found the factors and prime factorization of 9505 and 9509. The biggest common factor number is the GCF number.
So the greatest common factor 9505 and 9509 is 1.

Also check out the Least Common Multiple of 9505 and 9509

Properties of GCF 9505 and 9509

(i) The GCF of 9505 and 9509 is associative

GCF of 9505 and 9509 = GCF of 9509 and 9505

Related Greatest Common Factor of 9505

Related Greatest Common Factor of 9509

Frequently Asked Questions on GCF of 9505 and 9509

1. What is the GCF of 9505 and 9509?

Answer: GCF of 9505 and 9509 is 1.

2. What are the Factors of 9505?

Answer: Factors of 9505 are 1, 5, 1901, 9505. There are 4 integers that are factors of 9505. The greatest factor of 9505 is 9505.

3. What are the Factors of 9509?

Answer: Factors of 9509 are 1, 37, 257, 9509. There are 4 integers that are factors of 9509. The greatest factor of 9509 is 9509.

4. How to Find the GCF of 9505 and 9509?

Answer:

Greatest Common Factor of 9505 and 9509 = 1

Step 1: Find the prime factorization of 9505

9505 = 5 x 1901

Step 2: Find the prime factorization of 9509

9509 = 37 x 257

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 9505 and 9509 is 1