Greatest Common Factor of 9861 and 9869

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 9861, 9869 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9861 and 9869 is 1.

GCF(9861,9869) = 1

GCF of 9861 and 9869

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

GCF of:
and

Greatest Common Factor of 9861 and 9869

GCF of 9861 and 9869 is 1

Prime Factorization of 9861


3 9861
19 3287
173 173
1

Prime factors of 9861 are 3,19,173. Prime factorization of 9861 in exponential form is:

9861 = 31×191×1731

Prime Factorization of 9869


71 9869
139 139
1

Prime factors of 9869 are 71,139. Prime factorization of 9869 in exponential form is:

9869 = 711×1391

∴ So by taking common prime factors GCF of 9861 and 9869 is 1

Greatest Common Factor of 9861 and 9869 by matching factors method

Factors of 9861

List of positive integer factors of 9861 that divides 9861 without a remainder.

1,3,19,57,173,519,3287,9861

Factors of 9869

List of positive integer factors of 9869 that divides 9869 without a remainder.

1,71,139,9869

Greatest Common Factor

We found the factors and prime factorization of 9861 and 9869. The biggest common factor number is the GCF number.
So the greatest common factor 9861 and 9869 is 1.

Also check out the Least Common Multiple of 9861 and 9869

Properties of GCF 9861 and 9869

(i) The GCF of 9861 and 9869 is associative

GCF of 9861 and 9869 = GCF of 9869 and 9861

Frequently Asked Questions on GCF of 9861 and 9869

1. What is the GCF of 9861 and 9869?

Answer: GCF of 9861 and 9869 is 1.

2. What are the Factors of 9861?

Answer: Factors of 9861 are 1, 3, 19, 57, 173, 519, 3287, 9861. There are 8 integers that are factors of 9861. The greatest factor of 9861 is 9861.

3. What are the Factors of 9869?

Answer: Factors of 9869 are 1, 71, 139, 9869. There are 4 integers that are factors of 9869. The greatest factor of 9869 is 9869.

4. How to Find the GCF of 9861 and 9869?

Answer:

Greatest Common Factor of 9861 and 9869 = 1

Step 1: Find the prime factorization of 9861

9861 = 3 x 19 x 173

Step 2: Find the prime factorization of 9869

9869 = 71 x 139

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 9861 and 9869 is 1