What is the Greatest Common Factor of 75507 and 75525?

Greatest common factor (GCF) of 75507 and 75525 is 3.

GCF(75507,75525) = 3

We will now calculate the prime factors of 75507 and 75525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75507 and 75525.

How to find the GCF of 75507 and 75525?

We will first find the prime factorization of 75507 and 75525. After we will calculate the factors of 75507 and 75525 and find the biggest common factor number .

Step-1: Prime Factorization of 75507

Prime factors of 75507 are 3, 25169. Prime factorization of 75507 in exponential form is:

75507 = 3¹ × 25169¹

Step-2: 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-3: Factors of 75507

List of positive integer factors of 75507 that divides 75507 without a remainder.

1, 3, 25169

Step-4: Factors of 75525

List of positive integer factors of 75525 that divides 75507 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75507 and 75525. The biggest common factor number is the GCF number.
So the greatest common factor 75507 and 75525 is 3.

Also check out the Least Common Multiple of 75507 and 75525