What is the Greatest Common Factor of 836 and 847?

Greatest common factor (GCF) of 836 and 847 is 11.

GCF(836,847) = 11

We will now calculate the prime factors of 836 and 847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 836 and 847.

How to find the GCF of 836 and 847?

We will first find the prime factorization of 836 and 847. After we will calculate the factors of 836 and 847 and find the biggest common factor number .

Step-1: Prime Factorization of 836

Prime factors of 836 are 2, 11, 19. Prime factorization of 836 in exponential form is:

836 = 2² × 11¹ × 19¹

Step-2: Prime Factorization of 847

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

847 = 7¹ × 11²

Step-3: Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418

Step-4: Factors of 847

List of positive integer factors of 847 that divides 836 without a remainder.

1, 7, 11, 77, 121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 836 and 847. The biggest common factor number is the GCF number.
So the greatest common factor 836 and 847 is 11.

Also check out the Least Common Multiple of 836 and 847