What is the Greatest Common Factor of 77172 and 77184?

Greatest common factor (GCF) of 77172 and 77184 is 12.

GCF(77172,77184) = 12

We will now calculate the prime factors of 77172 and 77184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77172 and 77184.

How to find the GCF of 77172 and 77184?

We will first find the prime factorization of 77172 and 77184. After we will calculate the factors of 77172 and 77184 and find the biggest common factor number .

Step-1: Prime Factorization of 77172

Prime factors of 77172 are 2, 3, 59, 109. Prime factorization of 77172 in exponential form is:

77172 = 2² × 3¹ × 59¹ × 109¹

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 77172

List of positive integer factors of 77172 that divides 77172 without a remainder.

1, 2, 3, 4, 6, 12, 59, 109, 118, 177, 218, 236, 327, 354, 436, 654, 708, 1308, 6431, 12862, 19293, 25724, 38586

Step-4: Factors of 77184

List of positive integer factors of 77184 that divides 77172 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 77172 and 77184. The biggest common factor number is the GCF number.
So the greatest common factor 77172 and 77184 is 12.

Also check out the Least Common Multiple of 77172 and 77184