What is the Greatest Common Factor of 99425 and 99438?

Greatest common factor (GCF) of 99425 and 99438 is 1.

GCF(99425,99438) = 1

We will now calculate the prime factors of 99425 and 99438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99425 and 99438.

How to find the GCF of 99425 and 99438?

We will first find the prime factorization of 99425 and 99438. After we will calculate the factors of 99425 and 99438 and find the biggest common factor number .

Step-1: Prime Factorization of 99425

Prime factors of 99425 are 5, 41, 97. Prime factorization of 99425 in exponential form is:

99425 = 5² × 41¹ × 97¹

Step-2: Prime Factorization of 99438

Prime factors of 99438 are 2, 3, 16573. Prime factorization of 99438 in exponential form is:

99438 = 2¹ × 3¹ × 16573¹

Step-3: Factors of 99425

List of positive integer factors of 99425 that divides 99425 without a remainder.

1, 5, 25, 41, 97, 205, 485, 1025, 2425, 3977, 19885

Step-4: Factors of 99438

List of positive integer factors of 99438 that divides 99425 without a remainder.

1, 2, 3, 6, 16573, 33146, 49719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99425 and 99438. The biggest common factor number is the GCF number.
So the greatest common factor 99425 and 99438 is 1.

Also check out the Least Common Multiple of 99425 and 99438