What is the Greatest Common Factor of 77836 and 77847?

Greatest common factor (GCF) of 77836 and 77847 is 11.

GCF(77836,77847) = 11

We will now calculate the prime factors of 77836 and 77847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77836 and 77847.

How to find the GCF of 77836 and 77847?

We will first find the prime factorization of 77836 and 77847. After we will calculate the factors of 77836 and 77847 and find the biggest common factor number .

Step-1: Prime Factorization of 77836

Prime factors of 77836 are 2, 11, 29, 61. Prime factorization of 77836 in exponential form is:

77836 = 2² × 11¹ × 29¹ × 61¹

Step-2: Prime Factorization of 77847

Prime factors of 77847 are 3, 7, 11, 337. Prime factorization of 77847 in exponential form is:

77847 = 3¹ × 7¹ × 11¹ × 337¹

Step-3: Factors of 77836

List of positive integer factors of 77836 that divides 77836 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 61, 116, 122, 244, 319, 638, 671, 1276, 1342, 1769, 2684, 3538, 7076, 19459, 38918

Step-4: Factors of 77847

List of positive integer factors of 77847 that divides 77836 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 337, 1011, 2359, 3707, 7077, 11121, 25949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77836 and 77847. The biggest common factor number is the GCF number.
So the greatest common factor 77836 and 77847 is 11.

Also check out the Least Common Multiple of 77836 and 77847