What is the Greatest Common Factor of 48020 and 48033?

Greatest common factor (GCF) of 48020 and 48033 is 1.

GCF(48020,48033) = 1

We will now calculate the prime factors of 48020 and 48033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48020 and 48033.

How to find the GCF of 48020 and 48033?

We will first find the prime factorization of 48020 and 48033. After we will calculate the factors of 48020 and 48033 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48033

Prime factors of 48033 are 3, 593. Prime factorization of 48033 in exponential form is:

48033 = 3⁴ × 593¹

Step-3: Factors of 48020

List of positive integer factors of 48020 that divides 48020 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

Step-4: Factors of 48033

List of positive integer factors of 48033 that divides 48020 without a remainder.

1, 3, 9, 27, 81, 593, 1779, 5337, 16011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48020 and 48033. The biggest common factor number is the GCF number.
So the greatest common factor 48020 and 48033 is 1.

Also check out the Least Common Multiple of 48020 and 48033