What is the Greatest Common Factor of 68112 and 68128?

Greatest common factor (GCF) of 68112 and 68128 is 16.

GCF(68112,68128) = 16

We will now calculate the prime factors of 68112 and 68128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68112 and 68128.

How to find the GCF of 68112 and 68128?

We will first find the prime factorization of 68112 and 68128. After we will calculate the factors of 68112 and 68128 and find the biggest common factor number .

Step-1: Prime Factorization of 68112

Prime factors of 68112 are 2, 3, 11, 43. Prime factorization of 68112 in exponential form is:

68112 = 2⁴ × 3² × 11¹ × 43¹

Step-2: Prime Factorization of 68128

Prime factors of 68128 are 2, 2129. Prime factorization of 68128 in exponential form is:

68128 = 2⁵ × 2129¹

Step-3: Factors of 68112

List of positive integer factors of 68112 that divides 68112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 43, 44, 48, 66, 72, 86, 88, 99, 129, 132, 144, 172, 176, 198, 258, 264, 344, 387, 396, 473, 516, 528, 688, 774, 792, 946, 1032, 1419, 1548, 1584, 1892, 2064, 2838, 3096, 3784, 4257, 5676, 6192, 7568, 8514, 11352, 17028, 22704, 34056

Step-4: Factors of 68128

List of positive integer factors of 68128 that divides 68112 without a remainder.

1, 2, 4, 8, 16, 32, 2129, 4258, 8516, 17032, 34064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68112 and 68128. The biggest common factor number is the GCF number.
So the greatest common factor 68112 and 68128 is 16.

Also check out the Least Common Multiple of 68112 and 68128