What is the Greatest Common Factor of 99025 and 99038?

Greatest common factor (GCF) of 99025 and 99038 is 1.

GCF(99025,99038) = 1

We will now calculate the prime factors of 99025 and 99038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99025 and 99038.

How to find the GCF of 99025 and 99038?

We will first find the prime factorization of 99025 and 99038. After we will calculate the factors of 99025 and 99038 and find the biggest common factor number .

Step-1: Prime Factorization of 99025

Prime factors of 99025 are 5, 17, 233. Prime factorization of 99025 in exponential form is:

99025 = 5² × 17¹ × 233¹

Step-2: Prime Factorization of 99038

Prime factors of 99038 are 2, 23, 2153. Prime factorization of 99038 in exponential form is:

99038 = 2¹ × 23¹ × 2153¹

Step-3: Factors of 99025

List of positive integer factors of 99025 that divides 99025 without a remainder.

1, 5, 17, 25, 85, 233, 425, 1165, 3961, 5825, 19805

Step-4: Factors of 99038

List of positive integer factors of 99038 that divides 99025 without a remainder.

1, 2, 23, 46, 2153, 4306, 49519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99025 and 99038. The biggest common factor number is the GCF number.
So the greatest common factor 99025 and 99038 is 1.

Also check out the Least Common Multiple of 99025 and 99038