What is the Greatest Common Factor of 72714 and 72725?

Greatest common factor (GCF) of 72714 and 72725 is 1.

GCF(72714,72725) = 1

We will now calculate the prime factors of 72714 and 72725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72714 and 72725.

How to find the GCF of 72714 and 72725?

We will first find the prime factorization of 72714 and 72725. After we will calculate the factors of 72714 and 72725 and find the biggest common factor number .

Step-1: Prime Factorization of 72714

Prime factors of 72714 are 2, 3, 12119. Prime factorization of 72714 in exponential form is:

72714 = 2¹ × 3¹ × 12119¹

Step-2: Prime Factorization of 72725

Prime factors of 72725 are 5, 2909. Prime factorization of 72725 in exponential form is:

72725 = 5² × 2909¹

Step-3: Factors of 72714

List of positive integer factors of 72714 that divides 72714 without a remainder.

1, 2, 3, 6, 12119, 24238, 36357

Step-4: Factors of 72725

List of positive integer factors of 72725 that divides 72714 without a remainder.

1, 5, 25, 2909, 14545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72714 and 72725. The biggest common factor number is the GCF number.
So the greatest common factor 72714 and 72725 is 1.

Also check out the Least Common Multiple of 72714 and 72725