What is the Greatest Common Factor of 846 and 861?

Greatest common factor (GCF) of 846 and 861 is 3.

GCF(846,861) = 3

We will now calculate the prime factors of 846 and 861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 846 and 861.

How to find the GCF of 846 and 861?

We will first find the prime factorization of 846 and 861. After we will calculate the factors of 846 and 861 and find the biggest common factor number .

Step-1: Prime Factorization of 846

Prime factors of 846 are 2, 3, 47. Prime factorization of 846 in exponential form is:

846 = 2¹ × 3² × 47¹

Step-2: 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-3: Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423

Step-4: Factors of 861

List of positive integer factors of 861 that divides 846 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 846 and 861. The biggest common factor number is the GCF number.
So the greatest common factor 846 and 861 is 3.

Also check out the Least Common Multiple of 846 and 861