What is the Greatest Common Factor of 68052 and 68064?

Greatest common factor (GCF) of 68052 and 68064 is 12.

GCF(68052,68064) = 12

We will now calculate the prime factors of 68052 and 68064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68052 and 68064.

How to find the GCF of 68052 and 68064?

We will first find the prime factorization of 68052 and 68064. After we will calculate the factors of 68052 and 68064 and find the biggest common factor number .

Step-1: Prime Factorization of 68052

Prime factors of 68052 are 2, 3, 53, 107. Prime factorization of 68052 in exponential form is:

68052 = 2² × 3¹ × 53¹ × 107¹

Step-2: 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-3: Factors of 68052

List of positive integer factors of 68052 that divides 68052 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 107, 159, 212, 214, 318, 321, 428, 636, 642, 1284, 5671, 11342, 17013, 22684, 34026

Step-4: Factors of 68064

List of positive integer factors of 68064 that divides 68052 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68052 and 68064. The biggest common factor number is the GCF number.
So the greatest common factor 68052 and 68064 is 12.

Also check out the Least Common Multiple of 68052 and 68064