Greatest Common Factor of 875 and 883

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 875, 883 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 875 and 883 is 1.

GCF(875,883) = 1

GCF of 875 and 883

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

GCF of:
and

Greatest Common Factor of 875 and 883

GCF of 875 and 883 is 1

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

Prime Factorization of 883


883 883
1

Prime factors of 883 are 883. Prime factorization of 883 in exponential form is:

883 = 8831

∴ So by taking common prime factors GCF of 875 and 883 is 1

Greatest Common Factor of 875 and 883 by matching factors method

Factors of 875

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

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

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors and prime factorization of 875 and 883. The biggest common factor number is the GCF number.
So the greatest common factor 875 and 883 is 1.

Also check out the Least Common Multiple of 875 and 883

Properties of GCF 875 and 883

(i) The GCF of 875 and 883 is associative

GCF of 875 and 883 = GCF of 883 and 875

Related Greatest Common Factor of 875

Related Greatest Common Factor of 883

Frequently Asked Questions on GCF of 875 and 883

1. What is the GCF of 875 and 883?

Answer: GCF of 875 and 883 is 1.

2. 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.

3. What are the Factors of 883?

Answer: Factors of 883 are 1, 883. There are 2 integers that are factors of 883. The greatest factor of 883 is 883.

4. How to Find the GCF of 875 and 883?

Answer:

Greatest Common Factor of 875 and 883 = 1

Step 1: Find the prime factorization of 875

875 = 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 883

883 = 883

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 875 and 883 is 1