What is the Greatest Common Factor of 72414 and 72433?

Greatest common factor (GCF) of 72414 and 72433 is 1.

GCF(72414,72433) = 1

We will now calculate the prime factors of 72414 and 72433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72414 and 72433.

How to find the GCF of 72414 and 72433?

We will first find the prime factorization of 72414 and 72433. After we will calculate the factors of 72414 and 72433 and find the biggest common factor number .

Step-1: Prime Factorization of 72414

Prime factors of 72414 are 2, 3, 149. Prime factorization of 72414 in exponential form is:

72414 = 2¹ × 3⁵ × 149¹

Step-2: Prime Factorization of 72433

Prime factors of 72433 are 113, 641. Prime factorization of 72433 in exponential form is:

72433 = 113¹ × 641¹

Step-3: Factors of 72414

List of positive integer factors of 72414 that divides 72414 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 149, 162, 243, 298, 447, 486, 894, 1341, 2682, 4023, 8046, 12069, 24138, 36207

Step-4: Factors of 72433

List of positive integer factors of 72433 that divides 72414 without a remainder.

1, 113, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72414 and 72433. The biggest common factor number is the GCF number.
So the greatest common factor 72414 and 72433 is 1.

Also check out the Least Common Multiple of 72414 and 72433