What is the Greatest Common Factor of 847 and 861?

Greatest common factor (GCF) of 847 and 861 is 7.

GCF(847,861) = 7

We will now calculate the prime factors of 847 and 861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 847 and 861.

How to find the GCF of 847 and 861?

We will first find the prime factorization of 847 and 861. After we will calculate the factors of 847 and 861 and find the biggest common factor number .

Step-1: Prime Factorization of 847

Prime factors of 847 are 7, 11. Prime factorization of 847 in exponential form is:

847 = 7¹ × 11²

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 847

List of positive integer factors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121

Step-4: Factors of 861

List of positive integer factors of 861 that divides 847 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 847 and 861. The biggest common factor number is the GCF number.
So the greatest common factor 847 and 861 is 7.

Also check out the Least Common Multiple of 847 and 861