Greatest Common Factor of 869 and 875

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 869, 875 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 869 and 875 is 1.

GCF(869,875) = 1

GCF of 869 and 875

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

GCF of:
and

Greatest Common Factor of 869 and 875

GCF of 869 and 875 is 1

Prime Factorization of 869


11 869
79 79
1

Prime factors of 869 are 11,79. Prime factorization of 869 in exponential form is:

869 = 111×791

Prime Factorization of 875


5 875
5 175
5 35
7 7
1

Prime factors of 875 are 5,7. Prime factorization of 875 in exponential form is:

875 = 53×71

∴ So by taking common prime factors GCF of 869 and 875 is 1

Greatest Common Factor of 869 and 875 by matching factors method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors and prime factorization of 869 and 875. The biggest common factor number is the GCF number.
So the greatest common factor 869 and 875 is 1.

Also check out the Least Common Multiple of 869 and 875

Properties of GCF 869 and 875

(i) The GCF of 869 and 875 is associative

GCF of 869 and 875 = GCF of 875 and 869

Related Greatest Common Factor of 869

Related Greatest Common Factor of 875

Frequently Asked Questions on GCF of 869 and 875

1. What is the GCF of 869 and 875?

Answer: GCF of 869 and 875 is 1.

2. What are the Factors of 869?

Answer: Factors of 869 are 1, 11, 79, 869. There are 4 integers that are factors of 869. The greatest factor of 869 is 869.

3. What are the Factors of 875?

Answer: Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875. There are 8 integers that are factors of 875. The greatest factor of 875 is 875.

4. How to Find the GCF of 869 and 875?

Answer:

Greatest Common Factor of 869 and 875 = 1

Step 1: Find the prime factorization of 869

869 = 11 x 79

Step 2: Find the prime factorization of 875

875 = 5 x 5 x 5 x 7

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 869 and 875 is 1