Greatest Common Factor of 9698 and 9699

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 9698, 9699 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9698 and 9699 is 1.

GCF(9698,9699) = 1

GCF of 9698 and 9699

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

GCF of:
and

Greatest Common Factor of 9698 and 9699

GCF of 9698 and 9699 is 1

Prime Factorization of 9698


2 9698
13 4849
373 373
1

Prime factors of 9698 are 2,13,373. Prime factorization of 9698 in exponential form is:

9698 = 21×131×3731

Prime Factorization of 9699


3 9699
53 3233
61 61
1

Prime factors of 9699 are 3,53,61. Prime factorization of 9699 in exponential form is:

9699 = 31×531×611

∴ So by taking common prime factors GCF of 9698 and 9699 is 1

Greatest Common Factor of 9698 and 9699 by matching factors method

Factors of 9698

List of positive integer factors of 9698 that divides 9698 without a remainder.

1,2,13,26,373,746,4849,9698

Factors of 9699

List of positive integer factors of 9699 that divides 9699 without a remainder.

1,3,53,61,159,183,3233,9699

Greatest Common Factor

We found the factors and prime factorization of 9698 and 9699. The biggest common factor number is the GCF number.
So the greatest common factor 9698 and 9699 is 1.

Also check out the Least Common Multiple of 9698 and 9699

Properties of GCF 9698 and 9699

(i) The GCF of 9698 and 9699 is associative

GCF of 9698 and 9699 = GCF of 9699 and 9698

Frequently Asked Questions on GCF of 9698 and 9699

1. What is the GCF of 9698 and 9699?

Answer: GCF of 9698 and 9699 is 1.

2. What are the Factors of 9698?

Answer: Factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698. There are 8 integers that are factors of 9698. The greatest factor of 9698 is 9698.

3. What are the Factors of 9699?

Answer: Factors of 9699 are 1, 3, 53, 61, 159, 183, 3233, 9699. There are 8 integers that are factors of 9699. The greatest factor of 9699 is 9699.

4. How to Find the GCF of 9698 and 9699?

Answer:

Greatest Common Factor of 9698 and 9699 = 1

Step 1: Find the prime factorization of 9698

9698 = 2 x 13 x 373

Step 2: Find the prime factorization of 9699

9699 = 3 x 53 x 61

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 9698 and 9699 is 1