What is the Greatest Common Factor of 77184 and 77196?

Greatest common factor (GCF) of 77184 and 77196 is 12.

GCF(77184,77196) = 12

We will now calculate the prime factors of 77184 and 77196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77184 and 77196.

How to find the GCF of 77184 and 77196?

We will first find the prime factorization of 77184 and 77196. After we will calculate the factors of 77184 and 77196 and find the biggest common factor number .

Step-1: Prime Factorization of 77184

Prime factors of 77184 are 2, 3, 67. Prime factorization of 77184 in exponential form is:

77184 = 2⁷ × 3² × 67¹

Step-2: Prime Factorization of 77196

Prime factors of 77196 are 2, 3, 7, 919. Prime factorization of 77196 in exponential form is:

77196 = 2² × 3¹ × 7¹ × 919¹

Step-3: Factors of 77184

List of positive integer factors of 77184 that divides 77184 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 67, 72, 96, 128, 134, 144, 192, 201, 268, 288, 384, 402, 536, 576, 603, 804, 1072, 1152, 1206, 1608, 2144, 2412, 3216, 4288, 4824, 6432, 8576, 9648, 12864, 19296, 25728, 38592

Step-4: Factors of 77196

List of positive integer factors of 77196 that divides 77184 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 919, 1838, 2757, 3676, 5514, 6433, 11028, 12866, 19299, 25732, 38598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77184 and 77196. The biggest common factor number is the GCF number.
So the greatest common factor 77184 and 77196 is 12.

Also check out the Least Common Multiple of 77184 and 77196