Greatest Common Factor of 9650 and 9655

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, 9655 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9650 and 9655 is 5.

GCF(9650,9655) = 5

GCF of 9650 and 9655

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

GCF of:
and

Greatest Common Factor of 9650 and 9655

GCF of 9650 and 9655 is 5

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 9655


5 9655
1931 1931
1

Prime factors of 9655 are 5,1931. Prime factorization of 9655 in exponential form is:

9655 = 51×19311

∴ So by taking common prime factors GCF of 9650 and 9655 is 5

Greatest Common Factor of 9650 and 9655 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 9655

List of positive integer factors of 9655 that divides 9655 without a remainder.

1,5,1931,9655

Greatest Common Factor

We found the factors and prime factorization of 9650 and 9655. The biggest common factor number is the GCF number.
So the greatest common factor 9650 and 9655 is 5.

Also check out the Least Common Multiple of 9650 and 9655

Properties of GCF 9650 and 9655

(i) The GCF of 9650 and 9655 is associative

GCF of 9650 and 9655 = GCF of 9655 and 9650

Related Greatest Common Factor of 9650

Related Greatest Common Factor of 9655

Frequently Asked Questions on GCF of 9650 and 9655

1. What is the GCF of 9650 and 9655?

Answer: GCF of 9650 and 9655 is 5.

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 9655?

Answer: Factors of 9655 are 1, 5, 1931, 9655. There are 4 integers that are factors of 9655. The greatest factor of 9655 is 9655.

4. How to Find the GCF of 9650 and 9655?

Answer:

Greatest Common Factor of 9650 and 9655 = 5

Step 1: Find the prime factorization of 9650

9650 = 2 x 5 x 5 x 193

Step 2: Find the prime factorization of 9655

9655 = 5 x 1931

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9650 and 9655 is 5