What is the Greatest Common Factor of 72414 and 72425?

Greatest common factor (GCF) of 72414 and 72425 is 1.

GCF(72414,72425) = 1

We will now calculate the prime factors of 72414 and 72425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72414 and 72425.

How to find the GCF of 72414 and 72425?

We will first find the prime factorization of 72414 and 72425. After we will calculate the factors of 72414 and 72425 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 72425

Prime factors of 72425 are 5, 2897. Prime factorization of 72425 in exponential form is:

72425 = 5² × 2897¹

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 72425

List of positive integer factors of 72425 that divides 72414 without a remainder.

1, 5, 25, 2897, 14485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72414 and 72425. The biggest common factor number is the GCF number.
So the greatest common factor 72414 and 72425 is 1.

Also check out the Least Common Multiple of 72414 and 72425