Greatest Common Factor of 9654 and 9662

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 9654, 9662 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9654 and 9662 is 2.

GCF(9654,9662) = 2

GCF of 9654 and 9662

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

GCF of:
and

Greatest Common Factor of 9654 and 9662

GCF of 9654 and 9662 is 2

Prime Factorization of 9654


2 9654
3 4827
1609 1609
1

Prime factors of 9654 are 2,3,1609. Prime factorization of 9654 in exponential form is:

9654 = 21×31×16091

Prime Factorization of 9662


2 9662
4831 4831
1

Prime factors of 9662 are 2,4831. Prime factorization of 9662 in exponential form is:

9662 = 21×48311

∴ So by taking common prime factors GCF of 9654 and 9662 is 2

Greatest Common Factor of 9654 and 9662 by matching factors method

Factors of 9654

List of positive integer factors of 9654 that divides 9654 without a remainder.

1,2,3,6,1609,3218,4827,9654

Factors of 9662

List of positive integer factors of 9662 that divides 9662 without a remainder.

1,2,4831,9662

Greatest Common Factor

We found the factors and prime factorization of 9654 and 9662. The biggest common factor number is the GCF number.
So the greatest common factor 9654 and 9662 is 2.

Also check out the Least Common Multiple of 9654 and 9662

Properties of GCF 9654 and 9662

(i) The GCF of 9654 and 9662 is associative

GCF of 9654 and 9662 = GCF of 9662 and 9654

Related Greatest Common Factor of 9654

Related Greatest Common Factor of 9662

Frequently Asked Questions on GCF of 9654 and 9662

1. What is the GCF of 9654 and 9662?

Answer: GCF of 9654 and 9662 is 2.

2. What are the Factors of 9654?

Answer: Factors of 9654 are 1, 2, 3, 6, 1609, 3218, 4827, 9654. There are 8 integers that are factors of 9654. The greatest factor of 9654 is 9654.

3. What are the Factors of 9662?

Answer: Factors of 9662 are 1, 2, 4831, 9662. There are 4 integers that are factors of 9662. The greatest factor of 9662 is 9662.

4. How to Find the GCF of 9654 and 9662?

Answer:

Greatest Common Factor of 9654 and 9662 = 2

Step 1: Find the prime factorization of 9654

9654 = 2 x 3 x 1609

Step 2: Find the prime factorization of 9662

9662 = 2 x 4831

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 9654 and 9662 is 2