Greatest Common Factor of 9642 and 9650

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 9642, 9650 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9642 and 9650 is 2.

GCF(9642,9650) = 2

GCF of 9642 and 9650

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

GCF of:
and

Greatest Common Factor of 9642 and 9650

GCF of 9642 and 9650 is 2

Prime Factorization of 9642


2 9642
3 4821
1607 1607
1

Prime factors of 9642 are 2,3,1607. Prime factorization of 9642 in exponential form is:

9642 = 21×31×16071

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

∴ So by taking common prime factors GCF of 9642 and 9650 is 2

Greatest Common Factor of 9642 and 9650 by matching factors method

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

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

Greatest Common Factor

We found the factors and prime factorization of 9642 and 9650. The biggest common factor number is the GCF number.
So the greatest common factor 9642 and 9650 is 2.

Also check out the Least Common Multiple of 9642 and 9650

Properties of GCF 9642 and 9650

(i) The GCF of 9642 and 9650 is associative

GCF of 9642 and 9650 = GCF of 9650 and 9642

Related Greatest Common Factor of 9642

Related Greatest Common Factor of 9650

Frequently Asked Questions on GCF of 9642 and 9650

1. What is the GCF of 9642 and 9650?

Answer: GCF of 9642 and 9650 is 2.

2. What are the Factors of 9642?

Answer: Factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642. There are 8 integers that are factors of 9642. The greatest factor of 9642 is 9642.

3. 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.

4. How to Find the GCF of 9642 and 9650?

Answer:

Greatest Common Factor of 9642 and 9650 = 2

Step 1: Find the prime factorization of 9642

9642 = 2 x 3 x 1607

Step 2: Find the prime factorization of 9650

9650 = 2 x 5 x 5 x 193

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 9642 and 9650 is 2