What is the Greatest Common Factor of 76428 and 76446?

Greatest common factor (GCF) of 76428 and 76446 is 18.

GCF(76428,76446) = 18

We will now calculate the prime factors of 76428 and 76446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76428 and 76446.

How to find the GCF of 76428 and 76446?

We will first find the prime factorization of 76428 and 76446. After we will calculate the factors of 76428 and 76446 and find the biggest common factor number .

Step-1: Prime Factorization of 76428

Prime factors of 76428 are 2, 3, 11, 193. Prime factorization of 76428 in exponential form is:

76428 = 2² × 3² × 11¹ × 193¹

Step-2: Prime Factorization of 76446

Prime factors of 76446 are 2, 3, 31, 137. Prime factorization of 76446 in exponential form is:

76446 = 2¹ × 3² × 31¹ × 137¹

Step-3: Factors of 76428

List of positive integer factors of 76428 that divides 76428 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 193, 198, 386, 396, 579, 772, 1158, 1737, 2123, 2316, 3474, 4246, 6369, 6948, 8492, 12738, 19107, 25476, 38214

Step-4: Factors of 76446

List of positive integer factors of 76446 that divides 76428 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 137, 186, 274, 279, 411, 558, 822, 1233, 2466, 4247, 8494, 12741, 25482, 38223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76428 and 76446. The biggest common factor number is the GCF number.
So the greatest common factor 76428 and 76446 is 18.

Also check out the Least Common Multiple of 76428 and 76446