What is the Greatest Common Factor of 59525 and 59529?

Greatest common factor (GCF) of 59525 and 59529 is 1.

GCF(59525,59529) = 1

We will now calculate the prime factors of 59525 and 59529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59525 and 59529.

How to find the GCF of 59525 and 59529?

We will first find the prime factorization of 59525 and 59529. After we will calculate the factors of 59525 and 59529 and find the biggest common factor number .

Step-1: Prime Factorization of 59525

Prime factors of 59525 are 5, 2381. Prime factorization of 59525 in exponential form is:

59525 = 5² × 2381¹

Step-2: Prime Factorization of 59529

Prime factors of 59529 are 3, 19843. Prime factorization of 59529 in exponential form is:

59529 = 3¹ × 19843¹

Step-3: Factors of 59525

List of positive integer factors of 59525 that divides 59525 without a remainder.

1, 5, 25, 2381, 11905

Step-4: Factors of 59529

List of positive integer factors of 59529 that divides 59525 without a remainder.

1, 3, 19843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59525 and 59529. The biggest common factor number is the GCF number.
So the greatest common factor 59525 and 59529 is 1.

Also check out the Least Common Multiple of 59525 and 59529