What is the Greatest Common Factor of 72529 and 72544?

Greatest common factor (GCF) of 72529 and 72544 is 1.

GCF(72529,72544) = 1

We will now calculate the prime factors of 72529 and 72544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72529 and 72544.

How to find the GCF of 72529 and 72544?

We will first find the prime factorization of 72529 and 72544. After we will calculate the factors of 72529 and 72544 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 72544

Prime factors of 72544 are 2, 2267. Prime factorization of 72544 in exponential form is:

72544 = 2⁵ × 2267¹

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 72544

List of positive integer factors of 72544 that divides 72529 without a remainder.

1, 2, 4, 8, 16, 32, 2267, 4534, 9068, 18136, 36272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72529 and 72544. The biggest common factor number is the GCF number.
So the greatest common factor 72529 and 72544 is 1.

Also check out the Least Common Multiple of 72529 and 72544