What is the Greatest Common Factor of 871 and 875?

Greatest common factor (GCF) of 871 and 875 is 1.

GCF(871,875) = 1

We will now calculate the prime factors of 871 and 875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 871 and 875.

How to find the GCF of 871 and 875?

We will first find the prime factorization of 871 and 875. After we will calculate the factors of 871 and 875 and find the biggest common factor number .

Step-1: Prime Factorization of 871

Prime factors of 871 are 13, 67. Prime factorization of 871 in exponential form is:

871 = 13¹ × 67¹

Step-2: Prime Factorization of 875

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

875 = 5³ × 7¹

Step-3: Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1, 13, 67

Step-4: Factors of 875

List of positive integer factors of 875 that divides 871 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 871 and 875. The biggest common factor number is the GCF number.
So the greatest common factor 871 and 875 is 1.

Also check out the Least Common Multiple of 871 and 875