What is the Greatest Common Factor of 72414 and 72429?

Greatest common factor (GCF) of 72414 and 72429 is 3.

GCF(72414,72429) = 3

We will now calculate the prime factors of 72414 and 72429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72414 and 72429.

How to find the GCF of 72414 and 72429?

We will first find the prime factorization of 72414 and 72429. After we will calculate the factors of 72414 and 72429 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 72429

Prime factors of 72429 are 3, 7, 3449. Prime factorization of 72429 in exponential form is:

72429 = 3¹ × 7¹ × 3449¹

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 72429

List of positive integer factors of 72429 that divides 72414 without a remainder.

1, 3, 7, 21, 3449, 10347, 24143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72414 and 72429. The biggest common factor number is the GCF number.
So the greatest common factor 72414 and 72429 is 3.

Also check out the Least Common Multiple of 72414 and 72429