What is the Greatest Common Factor of 75525 and 75530?

Greatest common factor (GCF) of 75525 and 75530 is 5.

GCF(75525,75530) = 5

We will now calculate the prime factors of 75525 and 75530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75525 and 75530.

How to find the GCF of 75525 and 75530?

We will first find the prime factorization of 75525 and 75530. After we will calculate the factors of 75525 and 75530 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 75530

Prime factors of 75530 are 2, 5, 7, 13, 83. Prime factorization of 75530 in exponential form is:

75530 = 2¹ × 5¹ × 7¹ × 13¹ × 83¹

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 75530

List of positive integer factors of 75530 that divides 75525 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 83, 91, 130, 166, 182, 415, 455, 581, 830, 910, 1079, 1162, 2158, 2905, 5395, 5810, 7553, 10790, 15106, 37765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75525 and 75530. The biggest common factor number is the GCF number.
So the greatest common factor 75525 and 75530 is 5.

Also check out the Least Common Multiple of 75525 and 75530