What is the Greatest Common Factor of 72710 and 72725?

Greatest common factor (GCF) of 72710 and 72725 is 5.

GCF(72710,72725) = 5

We will now calculate the prime factors of 72710 and 72725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72710 and 72725.

How to find the GCF of 72710 and 72725?

We will first find the prime factorization of 72710 and 72725. After we will calculate the factors of 72710 and 72725 and find the biggest common factor number .

Step-1: Prime Factorization of 72710

Prime factors of 72710 are 2, 5, 11, 661. Prime factorization of 72710 in exponential form is:

72710 = 2¹ × 5¹ × 11¹ × 661¹

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 72710

List of positive integer factors of 72710 that divides 72710 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 661, 1322, 3305, 6610, 7271, 14542, 36355

Step-4: Factors of 72725

List of positive integer factors of 72725 that divides 72710 without a remainder.

1, 5, 25, 2909, 14545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72710 and 72725. The biggest common factor number is the GCF number.
So the greatest common factor 72710 and 72725 is 5.

Also check out the Least Common Multiple of 72710 and 72725