What is the Greatest Common Factor of 99005 and 99025?

Greatest common factor (GCF) of 99005 and 99025 is 5.

GCF(99005,99025) = 5

We will now calculate the prime factors of 99005 and 99025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99005 and 99025.

How to find the GCF of 99005 and 99025?

We will first find the prime factorization of 99005 and 99025. After we will calculate the factors of 99005 and 99025 and find the biggest common factor number .

Step-1: Prime Factorization of 99005

Prime factors of 99005 are 5, 19801. Prime factorization of 99005 in exponential form is:

99005 = 5¹ × 19801¹

Step-2: 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-3: Factors of 99005

List of positive integer factors of 99005 that divides 99005 without a remainder.

1, 5, 19801

Step-4: Factors of 99025

List of positive integer factors of 99025 that divides 99005 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99005 and 99025. The biggest common factor number is the GCF number.
So the greatest common factor 99005 and 99025 is 5.

Also check out the Least Common Multiple of 99005 and 99025