What is the Greatest Common Factor of 858 and 871?

Greatest common factor (GCF) of 858 and 871 is 13.

GCF(858,871) = 13

We will now calculate the prime factors of 858 and 871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 858 and 871.

How to find the GCF of 858 and 871?

We will first find the prime factorization of 858 and 871. After we will calculate the factors of 858 and 871 and find the biggest common factor number .

Step-1: Prime Factorization of 858

Prime factors of 858 are 2, 3, 11, 13. Prime factorization of 858 in exponential form is:

858 = 2¹ × 3¹ × 11¹ × 13¹

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 858

List of positive integer factors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429

Step-4: Factors of 871

List of positive integer factors of 871 that divides 858 without a remainder.

1, 13, 67

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 858 and 871. The biggest common factor number is the GCF number.
So the greatest common factor 858 and 871 is 13.

Also check out the Least Common Multiple of 858 and 871