What is the Greatest Common Factor of 67028 and 67038?

Greatest common factor (GCF) of 67028 and 67038 is 2.

GCF(67028,67038) = 2

We will now calculate the prime factors of 67028 and 67038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67028 and 67038.

How to find the GCF of 67028 and 67038?

We will first find the prime factorization of 67028 and 67038. After we will calculate the factors of 67028 and 67038 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67038

Prime factors of 67038 are 2, 3, 11173. Prime factorization of 67038 in exponential form is:

67038 = 2¹ × 3¹ × 11173¹

Step-3: Factors of 67028

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

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

Step-4: Factors of 67038

List of positive integer factors of 67038 that divides 67028 without a remainder.

1, 2, 3, 6, 11173, 22346, 33519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67028 and 67038. The biggest common factor number is the GCF number.
So the greatest common factor 67028 and 67038 is 2.

Also check out the Least Common Multiple of 67028 and 67038