What is the Greatest Common Factor of 77164 and 77184?

Greatest common factor (GCF) of 77164 and 77184 is 4.

GCF(77164,77184) = 4

We will now calculate the prime factors of 77164 and 77184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77164 and 77184.

How to find the GCF of 77164 and 77184?

We will first find the prime factorization of 77164 and 77184. After we will calculate the factors of 77164 and 77184 and find the biggest common factor number .

Step-1: Prime Factorization of 77164

Prime factors of 77164 are 2, 101, 191. Prime factorization of 77164 in exponential form is:

77164 = 2² × 101¹ × 191¹

Step-2: 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-3: Factors of 77164

List of positive integer factors of 77164 that divides 77164 without a remainder.

1, 2, 4, 101, 191, 202, 382, 404, 764, 19291, 38582

Step-4: Factors of 77184

List of positive integer factors of 77184 that divides 77164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77164 and 77184. The biggest common factor number is the GCF number.
So the greatest common factor 77164 and 77184 is 4.

Also check out the Least Common Multiple of 77164 and 77184