What is the Greatest Common Factor of 67038 and 67054?

Greatest common factor (GCF) of 67038 and 67054 is 2.

GCF(67038,67054) = 2

We will now calculate the prime factors of 67038 and 67054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67038 and 67054.

How to find the GCF of 67038 and 67054?

We will first find the prime factorization of 67038 and 67054. After we will calculate the factors of 67038 and 67054 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67054

Prime factors of 67054 are 2, 13, 2579. Prime factorization of 67054 in exponential form is:

67054 = 2¹ × 13¹ × 2579¹

Step-3: Factors of 67038

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

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

Step-4: Factors of 67054

List of positive integer factors of 67054 that divides 67038 without a remainder.

1, 2, 13, 26, 2579, 5158, 33527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67038 and 67054. The biggest common factor number is the GCF number.
So the greatest common factor 67038 and 67054 is 2.

Also check out the Least Common Multiple of 67038 and 67054