Greatest Common Factor of 9875 and 9877

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 9875, 9877 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9875 and 9877 is 1.

GCF(9875,9877) = 1

GCF of 9875 and 9877

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

GCF of:
and

Greatest Common Factor of 9875 and 9877

GCF of 9875 and 9877 is 1

Prime Factorization of 9875


5 9875
5 1975
5 395
79 79
1

Prime factors of 9875 are 5,79. Prime factorization of 9875 in exponential form is:

9875 = 53×791

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

∴ So by taking common prime factors GCF of 9875 and 9877 is 1

Greatest Common Factor of 9875 and 9877 by matching factors method

Factors of 9875

List of positive integer factors of 9875 that divides 9875 without a remainder.

1,5,25,79,125,395,1975,9875

Factors of 9877

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

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

Greatest Common Factor

We found the factors and prime factorization of 9875 and 9877. The biggest common factor number is the GCF number.
So the greatest common factor 9875 and 9877 is 1.

Also check out the Least Common Multiple of 9875 and 9877

Properties of GCF 9875 and 9877

(i) The GCF of 9875 and 9877 is associative

GCF of 9875 and 9877 = GCF of 9877 and 9875

Related Greatest Common Factor of 9875

Related Greatest Common Factor of 9877

Frequently Asked Questions on GCF of 9875 and 9877

1. What is the GCF of 9875 and 9877?

Answer: GCF of 9875 and 9877 is 1.

2. What are the Factors of 9875?

Answer: Factors of 9875 are 1, 5, 25, 79, 125, 395, 1975, 9875. There are 8 integers that are factors of 9875. The greatest factor of 9875 is 9875.

3. 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.

4. How to Find the GCF of 9875 and 9877?

Answer:

Greatest Common Factor of 9875 and 9877 = 1

Step 1: Find the prime factorization of 9875

9875 = 5 x 5 x 5 x 79

Step 2: Find the prime factorization of 9877

9877 = 7 x 17 x 83

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 9875 and 9877 is 1