What is the Greatest Common Factor of 73014 and 73031?

Greatest common factor (GCF) of 73014 and 73031 is 1.

GCF(73014,73031) = 1

We will now calculate the prime factors of 73014 and 73031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73014 and 73031.

How to find the GCF of 73014 and 73031?

We will first find the prime factorization of 73014 and 73031. After we will calculate the factors of 73014 and 73031 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 73031

Prime factors of 73031 are 7, 10433. Prime factorization of 73031 in exponential form is:

73031 = 7¹ × 10433¹

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 73031

List of positive integer factors of 73031 that divides 73014 without a remainder.

1, 7, 10433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73014 and 73031. The biggest common factor number is the GCF number.
So the greatest common factor 73014 and 73031 is 1.

Also check out the Least Common Multiple of 73014 and 73031