What is the Greatest Common Factor of 67008 and 67028?

Greatest common factor (GCF) of 67008 and 67028 is 4.

GCF(67008,67028) = 4

We will now calculate the prime factors of 67008 and 67028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67008 and 67028.

How to find the GCF of 67008 and 67028?

We will first find the prime factorization of 67008 and 67028. After we will calculate the factors of 67008 and 67028 and find the biggest common factor number .

Step-1: Prime Factorization of 67008

Prime factors of 67008 are 2, 3, 349. Prime factorization of 67008 in exponential form is:

67008 = 2⁶ × 3¹ × 349¹

Step-2: Prime Factorization of 67028

Prime factors of 67028 are 2, 13, 1289. Prime factorization of 67028 in exponential form is:

67028 = 2² × 13¹ × 1289¹

Step-3: Factors of 67008

List of positive integer factors of 67008 that divides 67008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 349, 698, 1047, 1396, 2094, 2792, 4188, 5584, 8376, 11168, 16752, 22336, 33504

Step-4: Factors of 67028

List of positive integer factors of 67028 that divides 67008 without a remainder.

1, 2, 4, 13, 26, 52, 1289, 2578, 5156, 16757, 33514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67008 and 67028. The biggest common factor number is the GCF number.
So the greatest common factor 67008 and 67028 is 4.

Also check out the Least Common Multiple of 67008 and 67028