What is the Greatest Common Factor of 72529 and 72549?

Greatest common factor (GCF) of 72529 and 72549 is 1.

GCF(72529,72549) = 1

We will now calculate the prime factors of 72529 and 72549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72529 and 72549.

How to find the GCF of 72529 and 72549?

We will first find the prime factorization of 72529 and 72549. After we will calculate the factors of 72529 and 72549 and find the biggest common factor number .

Step-1: Prime Factorization of 72529

Prime factors of 72529 are 29, 41, 61. Prime factorization of 72529 in exponential form is:

72529 = 29¹ × 41¹ × 61¹

Step-2: Prime Factorization of 72549

Prime factors of 72549 are 3, 2687. Prime factorization of 72549 in exponential form is:

72549 = 3³ × 2687¹

Step-3: Factors of 72529

List of positive integer factors of 72529 that divides 72529 without a remainder.

1, 29, 41, 61, 1189, 1769, 2501

Step-4: Factors of 72549

List of positive integer factors of 72549 that divides 72529 without a remainder.

1, 3, 9, 27, 2687, 8061, 24183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72529 and 72549. The biggest common factor number is the GCF number.
So the greatest common factor 72529 and 72549 is 1.

Also check out the Least Common Multiple of 72529 and 72549