What is the Greatest Common Factor of 68064 and 68082?

Greatest common factor (GCF) of 68064 and 68082 is 6.

GCF(68064,68082) = 6

We will now calculate the prime factors of 68064 and 68082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68064 and 68082.

How to find the GCF of 68064 and 68082?

We will first find the prime factorization of 68064 and 68082. After we will calculate the factors of 68064 and 68082 and find the biggest common factor number .

Step-1: Prime Factorization of 68064

Prime factors of 68064 are 2, 3, 709. Prime factorization of 68064 in exponential form is:

68064 = 2⁵ × 3¹ × 709¹

Step-2: Prime Factorization of 68082

Prime factors of 68082 are 2, 3, 7, 1621. Prime factorization of 68082 in exponential form is:

68082 = 2¹ × 3¹ × 7¹ × 1621¹

Step-3: Factors of 68064

List of positive integer factors of 68064 that divides 68064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 709, 1418, 2127, 2836, 4254, 5672, 8508, 11344, 17016, 22688, 34032

Step-4: Factors of 68082

List of positive integer factors of 68082 that divides 68064 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1621, 3242, 4863, 9726, 11347, 22694, 34041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68064 and 68082. The biggest common factor number is the GCF number.
So the greatest common factor 68064 and 68082 is 6.

Also check out the Least Common Multiple of 68064 and 68082