What is the Greatest Common Factor of 73014 and 73018?

Greatest common factor (GCF) of 73014 and 73018 is 2.

GCF(73014,73018) = 2

We will now calculate the prime factors of 73014 and 73018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73014 and 73018.

How to find the GCF of 73014 and 73018?

We will first find the prime factorization of 73014 and 73018. After we will calculate the factors of 73014 and 73018 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73018

Prime factors of 73018 are 2, 11, 3319. Prime factorization of 73018 in exponential form is:

73018 = 2¹ × 11¹ × 3319¹

Step-3: Factors of 73014

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

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

Step-4: Factors of 73018

List of positive integer factors of 73018 that divides 73014 without a remainder.

1, 2, 11, 22, 3319, 6638, 36509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73014 and 73018. The biggest common factor number is the GCF number.
So the greatest common factor 73014 and 73018 is 2.

Also check out the Least Common Multiple of 73014 and 73018