What is the Greatest Common Factor of 68016 and 68031?

Greatest common factor (GCF) of 68016 and 68031 is 3.

GCF(68016,68031) = 3

We will now calculate the prime factors of 68016 and 68031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68016 and 68031.

How to find the GCF of 68016 and 68031?

We will first find the prime factorization of 68016 and 68031. After we will calculate the factors of 68016 and 68031 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 68031

Prime factors of 68031 are 3, 7559. Prime factorization of 68031 in exponential form is:

68031 = 3² × 7559¹

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 68031

List of positive integer factors of 68031 that divides 68016 without a remainder.

1, 3, 9, 7559, 22677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68016 and 68031. The biggest common factor number is the GCF number.
So the greatest common factor 68016 and 68031 is 3.

Also check out the Least Common Multiple of 68016 and 68031