What is the Greatest Common Factor of 73004 and 73014?

Greatest common factor (GCF) of 73004 and 73014 is 2.

GCF(73004,73014) = 2

We will now calculate the prime factors of 73004 and 73014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73004 and 73014.

How to find the GCF of 73004 and 73014?

We will first find the prime factorization of 73004 and 73014. After we will calculate the factors of 73004 and 73014 and find the biggest common factor number .

Step-1: Prime Factorization of 73004

Prime factors of 73004 are 2, 18251. Prime factorization of 73004 in exponential form is:

73004 = 2² × 18251¹

Step-2: Prime Factorization of 73014

Prime factors of 73014 are 2, 3, 43, 283. Prime factorization of 73014 in exponential form is:

73014 = 2¹ × 3¹ × 43¹ × 283¹

Step-3: Factors of 73004

List of positive integer factors of 73004 that divides 73004 without a remainder.

1, 2, 4, 18251, 36502

Step-4: Factors of 73014

List of positive integer factors of 73014 that divides 73004 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 283, 566, 849, 1698, 12169, 24338, 36507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73004 and 73014. The biggest common factor number is the GCF number.
So the greatest common factor 73004 and 73014 is 2.

Also check out the Least Common Multiple of 73004 and 73014