Greatest Common Factor of 9498 and 9506

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, 9506 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9498 and 9506 is 2.

GCF(9498,9506) = 2

GCF of 9498 and 9506

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

GCF of:
and

Greatest Common Factor of 9498 and 9506

GCF of 9498 and 9506 is 2

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 9506


2 9506
7 4753
7 679
97 97
1

Prime factors of 9506 are 2,7,97. Prime factorization of 9506 in exponential form is:

9506 = 21×72×971

∴ So by taking common prime factors GCF of 9498 and 9506 is 2

Greatest Common Factor of 9498 and 9506 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 9506

List of positive integer factors of 9506 that divides 9506 without a remainder.

1,2,7,14,49,97,98,194,679,1358,4753,9506

Greatest Common Factor

We found the factors and prime factorization of 9498 and 9506. The biggest common factor number is the GCF number.
So the greatest common factor 9498 and 9506 is 2.

Also check out the Least Common Multiple of 9498 and 9506

Properties of GCF 9498 and 9506

(i) The GCF of 9498 and 9506 is associative

GCF of 9498 and 9506 = GCF of 9506 and 9498

Related Greatest Common Factor of 9498

Related Greatest Common Factor of 9506

Frequently Asked Questions on GCF of 9498 and 9506

1. What is the GCF of 9498 and 9506?

Answer: GCF of 9498 and 9506 is 2.

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 9506?

Answer: Factors of 9506 are 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506. There are 12 integers that are factors of 9506. The greatest factor of 9506 is 9506.

4. How to Find the GCF of 9498 and 9506?

Answer:

Greatest Common Factor of 9498 and 9506 = 2

Step 1: Find the prime factorization of 9498

9498 = 2 x 3 x 1583

Step 2: Find the prime factorization of 9506

9506 = 2 x 7 x 7 x 97

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 9498 and 9506 is 2