What is the Greatest Common Factor of 72994 and 73014?

Greatest common factor (GCF) of 72994 and 73014 is 2.

GCF(72994,73014) = 2

We will now calculate the prime factors of 72994 and 73014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72994 and 73014.

How to find the GCF of 72994 and 73014?

We will first find the prime factorization of 72994 and 73014. After we will calculate the factors of 72994 and 73014 and find the biggest common factor number .

Step-1: Prime Factorization of 72994

Prime factors of 72994 are 2, 36497. Prime factorization of 72994 in exponential form is:

72994 = 2¹ × 36497¹

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 72994

List of positive integer factors of 72994 that divides 72994 without a remainder.

1, 2, 36497

Step-4: Factors of 73014

List of positive integer factors of 73014 that divides 72994 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 72994 and 73014. The biggest common factor number is the GCF number.
So the greatest common factor 72994 and 73014 is 2.

Also check out the Least Common Multiple of 72994 and 73014