What is the Greatest Common Factor of 852 and 861?

Greatest common factor (GCF) of 852 and 861 is 3.

GCF(852,861) = 3

We will now calculate the prime factors of 852 and 861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 852 and 861.

How to find the GCF of 852 and 861?

We will first find the prime factorization of 852 and 861. After we will calculate the factors of 852 and 861 and find the biggest common factor number .

Step-1: Prime Factorization of 852

Prime factors of 852 are 2, 3, 71. Prime factorization of 852 in exponential form is:

852 = 2² × 3¹ × 71¹

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 852

List of positive integer factors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426

Step-4: Factors of 861

List of positive integer factors of 861 that divides 852 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 852 and 861. The biggest common factor number is the GCF number.
So the greatest common factor 852 and 861 is 3.

Also check out the Least Common Multiple of 852 and 861