What is the Greatest Common Factor of 75425 and 75430?

Greatest common factor (GCF) of 75425 and 75430 is 5.

GCF(75425,75430) = 5

We will now calculate the prime factors of 75425 and 75430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75425 and 75430.

How to find the GCF of 75425 and 75430?

We will first find the prime factorization of 75425 and 75430. After we will calculate the factors of 75425 and 75430 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75430

Prime factors of 75430 are 2, 5, 19, 397. Prime factorization of 75430 in exponential form is:

75430 = 2¹ × 5¹ × 19¹ × 397¹

Step-3: Factors of 75425

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

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

Step-4: Factors of 75430

List of positive integer factors of 75430 that divides 75425 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 397, 794, 1985, 3970, 7543, 15086, 37715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75425 and 75430. The biggest common factor number is the GCF number.
So the greatest common factor 75425 and 75430 is 5.

Also check out the Least Common Multiple of 75425 and 75430