What is the Greatest Common Factor of 68064 and 68068?

Greatest common factor (GCF) of 68064 and 68068 is 4.

GCF(68064,68068) = 4

We will now calculate the prime factors of 68064 and 68068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68064 and 68068.

How to find the GCF of 68064 and 68068?

We will first find the prime factorization of 68064 and 68068. After we will calculate the factors of 68064 and 68068 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 68068

Prime factors of 68068 are 2, 7, 11, 13, 17. Prime factorization of 68068 in exponential form is:

68068 = 2² × 7¹ × 11¹ × 13¹ × 17¹

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 68068

List of positive integer factors of 68068 that divides 68064 without a remainder.

1, 2, 4, 7, 11, 13, 14, 17, 22, 26, 28, 34, 44, 52, 68, 77, 91, 119, 143, 154, 182, 187, 221, 238, 286, 308, 364, 374, 442, 476, 572, 748, 884, 1001, 1309, 1547, 2002, 2431, 2618, 3094, 4004, 4862, 5236, 6188, 9724, 17017, 34034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68064 and 68068. The biggest common factor number is the GCF number.
So the greatest common factor 68064 and 68068 is 4.

Also check out the Least Common Multiple of 68064 and 68068