What is the Greatest Common Factor of 68016 and 68029?

Greatest common factor (GCF) of 68016 and 68029 is 13.

GCF(68016,68029) = 13

We will now calculate the prime factors of 68016 and 68029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68016 and 68029.

How to find the GCF of 68016 and 68029?

We will first find the prime factorization of 68016 and 68029. After we will calculate the factors of 68016 and 68029 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 68029

Prime factors of 68029 are 13, 5233. Prime factorization of 68029 in exponential form is:

68029 = 13¹ × 5233¹

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 68029

List of positive integer factors of 68029 that divides 68016 without a remainder.

1, 13, 5233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68016 and 68029. The biggest common factor number is the GCF number.
So the greatest common factor 68016 and 68029 is 13.

Also check out the Least Common Multiple of 68016 and 68029