What is the Greatest Common Factor of 68016 and 68028?

Greatest common factor (GCF) of 68016 and 68028 is 12.

GCF(68016,68028) = 12

We will now calculate the prime factors of 68016 and 68028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68016 and 68028.

How to find the GCF of 68016 and 68028?

We will first find the prime factorization of 68016 and 68028. After we will calculate the factors of 68016 and 68028 and find the biggest common factor number .

Step-1: Prime Factorization of 68016

Prime factors of 68016 are 2, 3, 13, 109. Prime factorization of 68016 in exponential form is:

68016 = 2⁴ × 3¹ × 13¹ × 109¹

Step-2: Prime Factorization of 68028

Prime factors of 68028 are 2, 3, 5669. Prime factorization of 68028 in exponential form is:

68028 = 2² × 3¹ × 5669¹

Step-3: Factors of 68016

List of positive integer factors of 68016 that divides 68016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 109, 156, 208, 218, 312, 327, 436, 624, 654, 872, 1308, 1417, 1744, 2616, 2834, 4251, 5232, 5668, 8502, 11336, 17004, 22672, 34008

Step-4: Factors of 68028

List of positive integer factors of 68028 that divides 68016 without a remainder.

1, 2, 3, 4, 6, 12, 5669, 11338, 17007, 22676, 34014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68016 and 68028. The biggest common factor number is the GCF number.
So the greatest common factor 68016 and 68028 is 12.

Also check out the Least Common Multiple of 68016 and 68028