Greatest Common Factor of 9498 and 9505

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 9498, 9505 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9498 and 9505 is 1.

GCF(9498,9505) = 1

GCF of 9498 and 9505

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

GCF of:
and

Greatest Common Factor of 9498 and 9505

GCF of 9498 and 9505 is 1

Prime Factorization of 9498


2 9498
3 4749
1583 1583
1

Prime factors of 9498 are 2,3,1583. Prime factorization of 9498 in exponential form is:

9498 = 21×31×15831

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

∴ So by taking common prime factors GCF of 9498 and 9505 is 1

Greatest Common Factor of 9498 and 9505 by matching factors method

Factors of 9498

List of positive integer factors of 9498 that divides 9498 without a remainder.

1,2,3,6,1583,3166,4749,9498

Factors of 9505

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

1,5,1901,9505

Greatest Common Factor

We found the factors and prime factorization of 9498 and 9505. The biggest common factor number is the GCF number.
So the greatest common factor 9498 and 9505 is 1.

Also check out the Least Common Multiple of 9498 and 9505

Properties of GCF 9498 and 9505

(i) The GCF of 9498 and 9505 is associative

GCF of 9498 and 9505 = GCF of 9505 and 9498

Related Greatest Common Factor of 9498

Related Greatest Common Factor of 9505

Frequently Asked Questions on GCF of 9498 and 9505

1. What is the GCF of 9498 and 9505?

Answer: GCF of 9498 and 9505 is 1.

2. What are the Factors of 9498?

Answer: Factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498. There are 8 integers that are factors of 9498. The greatest factor of 9498 is 9498.

3. 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.

4. How to Find the GCF of 9498 and 9505?

Answer:

Greatest Common Factor of 9498 and 9505 = 1

Step 1: Find the prime factorization of 9498

9498 = 2 x 3 x 1583

Step 2: Find the prime factorization of 9505

9505 = 5 x 1901

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 9498 and 9505 is 1