Greatest Common Factor of 875 and 881

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

Greatest common factor (GCF) of 875 and 881 is 1.

GCF(875,881) = 1

GCF of 875 and 881

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

GCF of:
and

Greatest Common Factor of 875 and 881

GCF of 875 and 881 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 881


881 881
1

Prime factors of 881 are 881. Prime factorization of 881 in exponential form is:

881 = 8811

∴ So by taking common prime factors GCF of 875 and 881 is 1

Greatest Common Factor of 875 and 881 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 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Greatest Common Factor

We found the factors and prime factorization of 875 and 881. The biggest common factor number is the GCF number.
So the greatest common factor 875 and 881 is 1.

Also check out the Least Common Multiple of 875 and 881

Properties of GCF 875 and 881

(i) The GCF of 875 and 881 is associative

GCF of 875 and 881 = GCF of 881 and 875

Frequently Asked Questions on GCF of 875 and 881

1. What is the GCF of 875 and 881?

Answer: GCF of 875 and 881 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 881?

Answer: Factors of 881 are 1, 881. There are 2 integers that are factors of 881. The greatest factor of 881 is 881.

4. How to Find the GCF of 875 and 881?

Answer:

Greatest Common Factor of 875 and 881 = 1

Step 1: Find the prime factorization of 875

875 = 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 881

881 = 881

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 881 is 1