What is the Greatest Common Factor of 77184 and 77204?

Greatest common factor (GCF) of 77184 and 77204 is 4.

GCF(77184,77204) = 4

We will now calculate the prime factors of 77184 and 77204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77184 and 77204.

How to find the GCF of 77184 and 77204?

We will first find the prime factorization of 77184 and 77204. After we will calculate the factors of 77184 and 77204 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 77204

Prime factors of 77204 are 2, 19301. Prime factorization of 77204 in exponential form is:

77204 = 2² × 19301¹

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 77204

List of positive integer factors of 77204 that divides 77184 without a remainder.

1, 2, 4, 19301, 38602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77184 and 77204. The biggest common factor number is the GCF number.
So the greatest common factor 77184 and 77204 is 4.

Also check out the Least Common Multiple of 77184 and 77204