What is the Greatest Common Factor of 68064 and 68069?

Greatest common factor (GCF) of 68064 and 68069 is 1.

GCF(68064,68069) = 1

We will now calculate the prime factors of 68064 and 68069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68064 and 68069.

How to find the GCF of 68064 and 68069?

We will first find the prime factorization of 68064 and 68069. After we will calculate the factors of 68064 and 68069 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 68069

Prime factors of 68069 are 43, 1583. Prime factorization of 68069 in exponential form is:

68069 = 43¹ × 1583¹

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 68069

List of positive integer factors of 68069 that divides 68064 without a remainder.

1, 43, 1583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68064 and 68069. The biggest common factor number is the GCF number.
So the greatest common factor 68064 and 68069 is 1.

Also check out the Least Common Multiple of 68064 and 68069