What is the Greatest Common Factor of 72414 and 72431?

Greatest common factor (GCF) of 72414 and 72431 is 1.

GCF(72414,72431) = 1

We will now calculate the prime factors of 72414 and 72431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72414 and 72431.

How to find the GCF of 72414 and 72431?

We will first find the prime factorization of 72414 and 72431. After we will calculate the factors of 72414 and 72431 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 72431

Prime factors of 72431 are 72431. Prime factorization of 72431 in exponential form is:

72431 = 72431¹

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 72431

List of positive integer factors of 72431 that divides 72414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72414 and 72431. The biggest common factor number is the GCF number.
So the greatest common factor 72414 and 72431 is 1.

Also check out the Least Common Multiple of 72414 and 72431