What is the Greatest Common Factor of 67038 and 67052?

Greatest common factor (GCF) of 67038 and 67052 is 2.

GCF(67038,67052) = 2

We will now calculate the prime factors of 67038 and 67052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67038 and 67052.

How to find the GCF of 67038 and 67052?

We will first find the prime factorization of 67038 and 67052. After we will calculate the factors of 67038 and 67052 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 67052

Prime factors of 67052 are 2, 16763. Prime factorization of 67052 in exponential form is:

67052 = 2² × 16763¹

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 67052

List of positive integer factors of 67052 that divides 67038 without a remainder.

1, 2, 4, 16763, 33526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67038 and 67052. The biggest common factor number is the GCF number.
So the greatest common factor 67038 and 67052 is 2.

Also check out the Least Common Multiple of 67038 and 67052