What is the Greatest Common Factor of 75405 and 75425?

Greatest common factor (GCF) of 75405 and 75425 is 5.

GCF(75405,75425) = 5

We will now calculate the prime factors of 75405 and 75425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75405 and 75425.

How to find the GCF of 75405 and 75425?

We will first find the prime factorization of 75405 and 75425. After we will calculate the factors of 75405 and 75425 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 75425

Prime factors of 75425 are 5, 7, 431. Prime factorization of 75425 in exponential form is:

75425 = 5² × 7¹ × 431¹

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 75425

List of positive integer factors of 75425 that divides 75405 without a remainder.

1, 5, 7, 25, 35, 175, 431, 2155, 3017, 10775, 15085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75405 and 75425. The biggest common factor number is the GCF number.
So the greatest common factor 75405 and 75425 is 5.

Also check out the Least Common Multiple of 75405 and 75425