What is the Greatest Common Factor of 77178 and 77184?

Greatest common factor (GCF) of 77178 and 77184 is 6.

GCF(77178,77184) = 6

We will now calculate the prime factors of 77178 and 77184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77178 and 77184.

How to find the GCF of 77178 and 77184?

We will first find the prime factorization of 77178 and 77184. After we will calculate the factors of 77178 and 77184 and find the biggest common factor number .

Step-1: Prime Factorization of 77178

Prime factors of 77178 are 2, 3, 19, 677. Prime factorization of 77178 in exponential form is:

77178 = 2¹ × 3¹ × 19¹ × 677¹

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 77178

List of positive integer factors of 77178 that divides 77178 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 677, 1354, 2031, 4062, 12863, 25726, 38589

Step-4: Factors of 77184

List of positive integer factors of 77184 that divides 77178 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 77178 and 77184. The biggest common factor number is the GCF number.
So the greatest common factor 77178 and 77184 is 6.

Also check out the Least Common Multiple of 77178 and 77184