Greatest Common Factor of 9850 and 9857

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, 9857 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9850 and 9857 is 1.

GCF(9850,9857) = 1

GCF of 9850 and 9857

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

GCF of:
and

Greatest Common Factor of 9850 and 9857

GCF of 9850 and 9857 is 1

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 9857


9857 9857
1

Prime factors of 9857 are 9857. Prime factorization of 9857 in exponential form is:

9857 = 98571

∴ So by taking common prime factors GCF of 9850 and 9857 is 1

Greatest Common Factor of 9850 and 9857 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 9857

List of positive integer factors of 9857 that divides 9857 without a remainder.

1,9857

Greatest Common Factor

We found the factors and prime factorization of 9850 and 9857. The biggest common factor number is the GCF number.
So the greatest common factor 9850 and 9857 is 1.

Also check out the Least Common Multiple of 9850 and 9857

Properties of GCF 9850 and 9857

(i) The GCF of 9850 and 9857 is associative

GCF of 9850 and 9857 = GCF of 9857 and 9850

Frequently Asked Questions on GCF of 9850 and 9857

1. What is the GCF of 9850 and 9857?

Answer: GCF of 9850 and 9857 is 1.

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 9857?

Answer: Factors of 9857 are 1, 9857. There are 2 integers that are factors of 9857. The greatest factor of 9857 is 9857.

4. How to Find the GCF of 9850 and 9857?

Answer:

Greatest Common Factor of 9850 and 9857 = 1

Step 1: Find the prime factorization of 9850

9850 = 2 x 5 x 5 x 197

Step 2: Find the prime factorization of 9857

9857 = 9857

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9850 and 9857 is 1