Greatest Common Factor of 9850 and 9854

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 9850, 9854 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9850 and 9854 is 2.

GCF(9850,9854) = 2

GCF of 9850 and 9854

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

GCF of:
and

Greatest Common Factor of 9850 and 9854

GCF of 9850 and 9854 is 2

Prime Factorization of 9850


2 9850
5 4925
5 985
197 197
1

Prime factors of 9850 are 2,5,197. Prime factorization of 9850 in exponential form is:

9850 = 21×52×1971

Prime Factorization of 9854


2 9854
13 4927
379 379
1

Prime factors of 9854 are 2,13,379. Prime factorization of 9854 in exponential form is:

9854 = 21×131×3791

∴ So by taking common prime factors GCF of 9850 and 9854 is 2

Greatest Common Factor of 9850 and 9854 by matching factors method

Factors of 9850

List of positive integer factors of 9850 that divides 9850 without a remainder.

1,2,5,10,25,50,197,394,985,1970,4925,9850

Factors of 9854

List of positive integer factors of 9854 that divides 9854 without a remainder.

1,2,13,26,379,758,4927,9854

Greatest Common Factor

We found the factors and prime factorization of 9850 and 9854. The biggest common factor number is the GCF number.
So the greatest common factor 9850 and 9854 is 2.

Also check out the Least Common Multiple of 9850 and 9854

Properties of GCF 9850 and 9854

(i) The GCF of 9850 and 9854 is associative

GCF of 9850 and 9854 = GCF of 9854 and 9850

Related Greatest Common Factor of 9850

Related Greatest Common Factor of 9854

Frequently Asked Questions on GCF of 9850 and 9854

1. What is the GCF of 9850 and 9854?

Answer: GCF of 9850 and 9854 is 2.

2. What are the Factors of 9850?

Answer: Factors of 9850 are 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850. There are 12 integers that are factors of 9850. The greatest factor of 9850 is 9850.

3. What are the Factors of 9854?

Answer: Factors of 9854 are 1, 2, 13, 26, 379, 758, 4927, 9854. There are 8 integers that are factors of 9854. The greatest factor of 9854 is 9854.

4. How to Find the GCF of 9850 and 9854?

Answer:

Greatest Common Factor of 9850 and 9854 = 2

Step 1: Find the prime factorization of 9850

9850 = 2 x 5 x 5 x 197

Step 2: Find the prime factorization of 9854

9854 = 2 x 13 x 379

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 9850 and 9854 is 2