Greatest Common Factor of 9650 and 9654

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 9650, 9654 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9650 and 9654 is 2.

GCF(9650,9654) = 2

GCF of 9650 and 9654

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

GCF of:
and

Greatest Common Factor of 9650 and 9654

GCF of 9650 and 9654 is 2

Prime Factorization of 9650


2 9650
5 4825
5 965
193 193
1

Prime factors of 9650 are 2,5,193. Prime factorization of 9650 in exponential form is:

9650 = 21×52×1931

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

∴ So by taking common prime factors GCF of 9650 and 9654 is 2

Greatest Common Factor of 9650 and 9654 by matching factors method

Factors of 9650

List of positive integer factors of 9650 that divides 9650 without a remainder.

1,2,5,10,25,50,193,386,965,1930,4825,9650

Factors of 9654

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

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

Greatest Common Factor

We found the factors and prime factorization of 9650 and 9654. The biggest common factor number is the GCF number.
So the greatest common factor 9650 and 9654 is 2.

Also check out the Least Common Multiple of 9650 and 9654

Properties of GCF 9650 and 9654

(i) The GCF of 9650 and 9654 is associative

GCF of 9650 and 9654 = GCF of 9654 and 9650

Related Greatest Common Factor of 9650

Related Greatest Common Factor of 9654

Frequently Asked Questions on GCF of 9650 and 9654

1. What is the GCF of 9650 and 9654?

Answer: GCF of 9650 and 9654 is 2.

2. What are the Factors of 9650?

Answer: Factors of 9650 are 1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825, 9650. There are 12 integers that are factors of 9650. The greatest factor of 9650 is 9650.

3. 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.

4. How to Find the GCF of 9650 and 9654?

Answer:

Greatest Common Factor of 9650 and 9654 = 2

Step 1: Find the prime factorization of 9650

9650 = 2 x 5 x 5 x 193

Step 2: Find the prime factorization of 9654

9654 = 2 x 3 x 1609

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 9650 and 9654 is 2