What is the Greatest Common Factor of 72561 and 72569?

Greatest common factor (GCF) of 72561 and 72569 is 1.

GCF(72561,72569) = 1

We will now calculate the prime factors of 72561 and 72569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72561 and 72569.

How to find the GCF of 72561 and 72569?

We will first find the prime factorization of 72561 and 72569. After we will calculate the factors of 72561 and 72569 and find the biggest common factor number .

Step-1: Prime Factorization of 72561

Prime factors of 72561 are 3, 19, 67. Prime factorization of 72561 in exponential form is:

72561 = 3¹ × 19² × 67¹

Step-2: Prime Factorization of 72569

Prime factors of 72569 are 7, 1481. Prime factorization of 72569 in exponential form is:

72569 = 7² × 1481¹

Step-3: Factors of 72561

List of positive integer factors of 72561 that divides 72561 without a remainder.

1, 3, 19, 57, 67, 201, 361, 1083, 1273, 3819, 24187

Step-4: Factors of 72569

List of positive integer factors of 72569 that divides 72561 without a remainder.

1, 7, 49, 1481, 10367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72561 and 72569. The biggest common factor number is the GCF number.
So the greatest common factor 72561 and 72569 is 1.

Also check out the Least Common Multiple of 72561 and 72569