Greatest Common Factor of 9877 and 9882

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 9877, 9882 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9877 and 9882 is 1.

GCF(9877,9882) = 1

GCF of 9877 and 9882

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

GCF of:
and

Greatest Common Factor of 9877 and 9882

GCF of 9877 and 9882 is 1

Prime Factorization of 9877


7 9877
17 1411
83 83
1

Prime factors of 9877 are 7,17,83. Prime factorization of 9877 in exponential form is:

9877 = 71×171×831

Prime Factorization of 9882


2 9882
3 4941
3 1647
3 549
3 183
61 61
1

Prime factors of 9882 are 2,3,61. Prime factorization of 9882 in exponential form is:

9882 = 21×34×611

∴ So by taking common prime factors GCF of 9877 and 9882 is 1

Greatest Common Factor of 9877 and 9882 by matching factors method

Factors of 9877

List of positive integer factors of 9877 that divides 9877 without a remainder.

1,7,17,83,119,581,1411,9877

Factors of 9882

List of positive integer factors of 9882 that divides 9882 without a remainder.

1,2,3,6,9,18,27,54,61,81,122,162,183,366,549,1098,1647,3294,4941,9882

Greatest Common Factor

We found the factors and prime factorization of 9877 and 9882. The biggest common factor number is the GCF number.
So the greatest common factor 9877 and 9882 is 1.

Also check out the Least Common Multiple of 9877 and 9882

Properties of GCF 9877 and 9882

(i) The GCF of 9877 and 9882 is associative

GCF of 9877 and 9882 = GCF of 9882 and 9877

Related Greatest Common Factor of 9877

Related Greatest Common Factor of 9882

Frequently Asked Questions on GCF of 9877 and 9882

1. What is the GCF of 9877 and 9882?

Answer: GCF of 9877 and 9882 is 1.

2. What are the Factors of 9877?

Answer: Factors of 9877 are 1, 7, 17, 83, 119, 581, 1411, 9877. There are 8 integers that are factors of 9877. The greatest factor of 9877 is 9877.

3. What are the Factors of 9882?

Answer: Factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882. There are 20 integers that are factors of 9882. The greatest factor of 9882 is 9882.

4. How to Find the GCF of 9877 and 9882?

Answer:

Greatest Common Factor of 9877 and 9882 = 1

Step 1: Find the prime factorization of 9877

9877 = 7 x 17 x 83

Step 2: Find the prime factorization of 9882

9882 = 2 x 3 x 3 x 3 x 3 x 61

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 9877 and 9882 is 1