What is the Greatest Common Factor of 72529 and 72548?

Greatest common factor (GCF) of 72529 and 72548 is 1.

GCF(72529,72548) = 1

We will now calculate the prime factors of 72529 and 72548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72529 and 72548.

How to find the GCF of 72529 and 72548?

We will first find the prime factorization of 72529 and 72548. After we will calculate the factors of 72529 and 72548 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 72548

Prime factors of 72548 are 2, 7, 2591. Prime factorization of 72548 in exponential form is:

72548 = 2² × 7¹ × 2591¹

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 72548

List of positive integer factors of 72548 that divides 72529 without a remainder.

1, 2, 4, 7, 14, 28, 2591, 5182, 10364, 18137, 36274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72529 and 72548. The biggest common factor number is the GCF number.
So the greatest common factor 72529 and 72548 is 1.

Also check out the Least Common Multiple of 72529 and 72548