Greatest Common Factor of 9870 and 9871

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 9870, 9871 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9870 and 9871 is 1.

GCF(9870,9871) = 1

GCF of 9870 and 9871

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

GCF of:
and

Greatest Common Factor of 9870 and 9871

GCF of 9870 and 9871 is 1

Prime Factorization of 9870


2 9870
3 4935
5 1645
7 329
47 47
1

Prime factors of 9870 are 2,3,5,7,47. Prime factorization of 9870 in exponential form is:

9870 = 21×31×51×71×471

Prime Factorization of 9871


9871 9871
1

Prime factors of 9871 are 9871. Prime factorization of 9871 in exponential form is:

9871 = 98711

∴ So by taking common prime factors GCF of 9870 and 9871 is 1

Greatest Common Factor of 9870 and 9871 by matching factors method

Factors of 9870

List of positive integer factors of 9870 that divides 9870 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870

Factors of 9871

List of positive integer factors of 9871 that divides 9871 without a remainder.

1,9871

Greatest Common Factor

We found the factors and prime factorization of 9870 and 9871. The biggest common factor number is the GCF number.
So the greatest common factor 9870 and 9871 is 1.

Also check out the Least Common Multiple of 9870 and 9871

Properties of GCF 9870 and 9871

(i) The GCF of 9870 and 9871 is associative

GCF of 9870 and 9871 = GCF of 9871 and 9870

Related Greatest Common Factor of 9870

Related Greatest Common Factor of 9871

Frequently Asked Questions on GCF of 9870 and 9871

1. What is the GCF of 9870 and 9871?

Answer: GCF of 9870 and 9871 is 1.

2. What are the Factors of 9870?

Answer: Factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870. There are 32 integers that are factors of 9870. The greatest factor of 9870 is 9870.

3. What are the Factors of 9871?

Answer: Factors of 9871 are 1, 9871. There are 2 integers that are factors of 9871. The greatest factor of 9871 is 9871.

4. How to Find the GCF of 9870 and 9871?

Answer:

Greatest Common Factor of 9870 and 9871 = 1

Step 1: Find the prime factorization of 9870

9870 = 2 x 3 x 5 x 7 x 47

Step 2: Find the prime factorization of 9871

9871 = 9871

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 9870 and 9871 is 1