What is the Greatest Common Factor of 77184 and 77188?

Greatest common factor (GCF) of 77184 and 77188 is 4.

GCF(77184,77188) = 4

We will now calculate the prime factors of 77184 and 77188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77184 and 77188.

How to find the GCF of 77184 and 77188?

We will first find the prime factorization of 77184 and 77188. After we will calculate the factors of 77184 and 77188 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 77188

Prime factors of 77188 are 2, 23, 839. Prime factorization of 77188 in exponential form is:

77188 = 2² × 23¹ × 839¹

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 77188

List of positive integer factors of 77188 that divides 77184 without a remainder.

1, 2, 4, 23, 46, 92, 839, 1678, 3356, 19297, 38594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77184 and 77188. The biggest common factor number is the GCF number.
So the greatest common factor 77184 and 77188 is 4.

Also check out the Least Common Multiple of 77184 and 77188