What is the Greatest Common Factor of 48005 and 48025?

Greatest common factor (GCF) of 48005 and 48025 is 5.

GCF(48005,48025) = 5

We will now calculate the prime factors of 48005 and 48025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48005 and 48025.

How to find the GCF of 48005 and 48025?

We will first find the prime factorization of 48005 and 48025. After we will calculate the factors of 48005 and 48025 and find the biggest common factor number .

Step-1: Prime Factorization of 48005

Prime factors of 48005 are 5, 9601. Prime factorization of 48005 in exponential form is:

48005 = 5¹ × 9601¹

Step-2: Prime Factorization of 48025

Prime factors of 48025 are 5, 17, 113. Prime factorization of 48025 in exponential form is:

48025 = 5² × 17¹ × 113¹

Step-3: Factors of 48005

List of positive integer factors of 48005 that divides 48005 without a remainder.

1, 5, 9601

Step-4: Factors of 48025

List of positive integer factors of 48025 that divides 48005 without a remainder.

1, 5, 17, 25, 85, 113, 425, 565, 1921, 2825, 9605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48005 and 48025. The biggest common factor number is the GCF number.
So the greatest common factor 48005 and 48025 is 5.

Also check out the Least Common Multiple of 48005 and 48025