What is the Greatest Common Factor of 68068 and 68072?

Greatest common factor (GCF) of 68068 and 68072 is 4.

GCF(68068,68072) = 4

We will now calculate the prime factors of 68068 and 68072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68068 and 68072.

How to find the GCF of 68068 and 68072?

We will first find the prime factorization of 68068 and 68072. After we will calculate the factors of 68068 and 68072 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68072

Prime factors of 68072 are 2, 67, 127. Prime factorization of 68072 in exponential form is:

68072 = 2³ × 67¹ × 127¹

Step-3: Factors of 68068

List of positive integer factors of 68068 that divides 68068 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

Step-4: Factors of 68072

List of positive integer factors of 68072 that divides 68068 without a remainder.

1, 2, 4, 8, 67, 127, 134, 254, 268, 508, 536, 1016, 8509, 17018, 34036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68068 and 68072. The biggest common factor number is the GCF number.
So the greatest common factor 68068 and 68072 is 4.

Also check out the Least Common Multiple of 68068 and 68072