Greatest Common Factor of 9505 and 9508

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, 9508 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9505 and 9508 is 1.

GCF(9505,9508) = 1

GCF of 9505 and 9508

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

GCF of:
and

Greatest Common Factor of 9505 and 9508

GCF of 9505 and 9508 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 9508


2 9508
2 4754
2377 2377
1

Prime factors of 9508 are 2,2377. Prime factorization of 9508 in exponential form is:

9508 = 22×23771

∴ So by taking common prime factors GCF of 9505 and 9508 is 1

Greatest Common Factor of 9505 and 9508 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 9508

List of positive integer factors of 9508 that divides 9508 without a remainder.

1,2,4,2377,4754,9508

Greatest Common Factor

We found the factors and prime factorization of 9505 and 9508. The biggest common factor number is the GCF number.
So the greatest common factor 9505 and 9508 is 1.

Also check out the Least Common Multiple of 9505 and 9508

Properties of GCF 9505 and 9508

(i) The GCF of 9505 and 9508 is associative

GCF of 9505 and 9508 = GCF of 9508 and 9505

Related Greatest Common Factor of 9505

Related Greatest Common Factor of 9508

Frequently Asked Questions on GCF of 9505 and 9508

1. What is the GCF of 9505 and 9508?

Answer: GCF of 9505 and 9508 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 9508?

Answer: Factors of 9508 are 1, 2, 4, 2377, 4754, 9508. There are 6 integers that are factors of 9508. The greatest factor of 9508 is 9508.

4. How to Find the GCF of 9505 and 9508?

Answer:

Greatest Common Factor of 9505 and 9508 = 1

Step 1: Find the prime factorization of 9505

9505 = 5 x 1901

Step 2: Find the prime factorization of 9508

9508 = 2 x 2 x 2377

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 9508 is 1