What is the Greatest Common Factor of 72414 and 72424?

Greatest common factor (GCF) of 72414 and 72424 is 2.

GCF(72414,72424) = 2

We will now calculate the prime factors of 72414 and 72424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72414 and 72424.

How to find the GCF of 72414 and 72424?

We will first find the prime factorization of 72414 and 72424. After we will calculate the factors of 72414 and 72424 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 72424

Prime factors of 72424 are 2, 11, 823. Prime factorization of 72424 in exponential form is:

72424 = 2³ × 11¹ × 823¹

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 72424

List of positive integer factors of 72424 that divides 72414 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 823, 1646, 3292, 6584, 9053, 18106, 36212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72414 and 72424. The biggest common factor number is the GCF number.
So the greatest common factor 72414 and 72424 is 2.

Also check out the Least Common Multiple of 72414 and 72424