What is the Greatest Common Factor of 48005 and 48020?

Greatest common factor (GCF) of 48005 and 48020 is 5.

GCF(48005,48020) = 5

We will now calculate the prime factors of 48005 and 48020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48005 and 48020.

How to find the GCF of 48005 and 48020?

We will first find the prime factorization of 48005 and 48020. After we will calculate the factors of 48005 and 48020 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 48020

Prime factors of 48020 are 2, 5, 7. Prime factorization of 48020 in exponential form is:

48020 = 2² × 5¹ × 7⁴

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 48020

List of positive integer factors of 48020 that divides 48005 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 2401, 3430, 4802, 6860, 9604, 12005, 24010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48005 and 48020. The biggest common factor number is the GCF number.
So the greatest common factor 48005 and 48020 is 5.

Also check out the Least Common Multiple of 48005 and 48020