Greatest Common Factor of 9850 and 9855

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, 9855 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9850 and 9855 is 5.

GCF(9850,9855) = 5

GCF of 9850 and 9855

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

GCF of:
and

Greatest Common Factor of 9850 and 9855

GCF of 9850 and 9855 is 5

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 9855


3 9855
3 3285
3 1095
5 365
73 73
1

Prime factors of 9855 are 3,5,73. Prime factorization of 9855 in exponential form is:

9855 = 33×51×731

∴ So by taking common prime factors GCF of 9850 and 9855 is 5

Greatest Common Factor of 9850 and 9855 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 9855

List of positive integer factors of 9855 that divides 9855 without a remainder.

1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855

Greatest Common Factor

We found the factors and prime factorization of 9850 and 9855. The biggest common factor number is the GCF number.
So the greatest common factor 9850 and 9855 is 5.

Also check out the Least Common Multiple of 9850 and 9855

Properties of GCF 9850 and 9855

(i) The GCF of 9850 and 9855 is associative

GCF of 9850 and 9855 = GCF of 9855 and 9850

Related Greatest Common Factor of 9850

Related Greatest Common Factor of 9855

Frequently Asked Questions on GCF of 9850 and 9855

1. What is the GCF of 9850 and 9855?

Answer: GCF of 9850 and 9855 is 5.

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 9855?

Answer: Factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855. There are 16 integers that are factors of 9855. The greatest factor of 9855 is 9855.

4. How to Find the GCF of 9850 and 9855?

Answer:

Greatest Common Factor of 9850 and 9855 = 5

Step 1: Find the prime factorization of 9850

9850 = 2 x 5 x 5 x 197

Step 2: Find the prime factorization of 9855

9855 = 3 x 3 x 3 x 5 x 73

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 9850 and 9855 is 5