GCF and LCM Calculator Logo

What is the Greatest Common Factor of 861 and 871?

Greatest common factor (GCF) of 861 and 871 is 1.

GCF(861,871) = 1

We will now calculate the prime factors of 861 and 871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 861 and 871.

GCF Calculator and
and

How to find the GCF of 861 and 871?

We will first find the prime factorization of 861 and 871. After we will calculate the factors of 861 and 871 and find the biggest common factor number .

Step-1: Prime Factorization of 861

Prime factors of 861 are 3, 7, 41. Prime factorization of 861 in exponential form is:

861 = 31 × 71 × 411

Step-2: Prime Factorization of 871

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

871 = 131 × 671

Step-3: Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287

Step-4: Factors of 871

List of positive integer factors of 871 that divides 861 without a remainder.

1, 13, 67

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 861 and 871. The biggest common factor number is the GCF number.
So the greatest common factor 861 and 871 is 1.

Also check out the Least Common Multiple of 861 and 871