What is the Greatest Common Factor of 75525 and 75529?

Greatest common factor (GCF) of 75525 and 75529 is 1.

GCF(75525,75529) = 1

We will now calculate the prime factors of 75525 and 75529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75525 and 75529.

How to find the GCF of 75525 and 75529?

We will first find the prime factorization of 75525 and 75529. After we will calculate the factors of 75525 and 75529 and find the biggest common factor number .

Step-1: Prime Factorization of 75525

Prime factors of 75525 are 3, 5, 19, 53. Prime factorization of 75525 in exponential form is:

75525 = 3¹ × 5² × 19¹ × 53¹

Step-2: Prime Factorization of 75529

Prime factors of 75529 are 47, 1607. Prime factorization of 75529 in exponential form is:

75529 = 47¹ × 1607¹

Step-3: Factors of 75525

List of positive integer factors of 75525 that divides 75525 without a remainder.

1, 3, 5, 15, 19, 25, 53, 57, 75, 95, 159, 265, 285, 475, 795, 1007, 1325, 1425, 3021, 3975, 5035, 15105, 25175

Step-4: Factors of 75529

List of positive integer factors of 75529 that divides 75525 without a remainder.

1, 47, 1607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75525 and 75529. The biggest common factor number is the GCF number.
So the greatest common factor 75525 and 75529 is 1.

Also check out the Least Common Multiple of 75525 and 75529