What is the Greatest Common Factor of 96425 and 96439?

Greatest common factor (GCF) of 96425 and 96439 is 7.

GCF(96425,96439) = 7

We will now calculate the prime factors of 96425 and 96439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96425 and 96439.

How to find the GCF of 96425 and 96439?

We will first find the prime factorization of 96425 and 96439. After we will calculate the factors of 96425 and 96439 and find the biggest common factor number .

Step-1: Prime Factorization of 96425

Prime factors of 96425 are 5, 7, 19, 29. Prime factorization of 96425 in exponential form is:

96425 = 5² × 7¹ × 19¹ × 29¹

Step-2: Prime Factorization of 96439

Prime factors of 96439 are 7, 23, 599. Prime factorization of 96439 in exponential form is:

96439 = 7¹ × 23¹ × 599¹

Step-3: Factors of 96425

List of positive integer factors of 96425 that divides 96425 without a remainder.

1, 5, 7, 19, 25, 29, 35, 95, 133, 145, 175, 203, 475, 551, 665, 725, 1015, 2755, 3325, 3857, 5075, 13775, 19285

Step-4: Factors of 96439

List of positive integer factors of 96439 that divides 96425 without a remainder.

1, 7, 23, 161, 599, 4193, 13777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96425 and 96439. The biggest common factor number is the GCF number.
So the greatest common factor 96425 and 96439 is 7.

Also check out the Least Common Multiple of 96425 and 96439