What is the Greatest Common Factor of 75405 and 75413?

Greatest common factor (GCF) of 75405 and 75413 is 1.

GCF(75405,75413) = 1

We will now calculate the prime factors of 75405 and 75413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75405 and 75413.

How to find the GCF of 75405 and 75413?

We will first find the prime factorization of 75405 and 75413. After we will calculate the factors of 75405 and 75413 and find the biggest common factor number .

Step-1: Prime Factorization of 75405

Prime factors of 75405 are 3, 5, 11, 457. Prime factorization of 75405 in exponential form is:

75405 = 3¹ × 5¹ × 11¹ × 457¹

Step-2: Prime Factorization of 75413

Prime factors of 75413 are 13, 5801. Prime factorization of 75413 in exponential form is:

75413 = 13¹ × 5801¹

Step-3: Factors of 75405

List of positive integer factors of 75405 that divides 75405 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 457, 1371, 2285, 5027, 6855, 15081, 25135

Step-4: Factors of 75413

List of positive integer factors of 75413 that divides 75405 without a remainder.

1, 13, 5801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75405 and 75413. The biggest common factor number is the GCF number.
So the greatest common factor 75405 and 75413 is 1.

Also check out the Least Common Multiple of 75405 and 75413