What is the Greatest Common Factor of 80020 and 80032?

Greatest common factor (GCF) of 80020 and 80032 is 4.

GCF(80020,80032) = 4

We will now calculate the prime factors of 80020 and 80032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80020 and 80032.

How to find the GCF of 80020 and 80032?

We will first find the prime factorization of 80020 and 80032. After we will calculate the factors of 80020 and 80032 and find the biggest common factor number .

Step-1: Prime Factorization of 80020

Prime factors of 80020 are 2, 5, 4001. Prime factorization of 80020 in exponential form is:

80020 = 2² × 5¹ × 4001¹

Step-2: Prime Factorization of 80032

Prime factors of 80032 are 2, 41, 61. Prime factorization of 80032 in exponential form is:

80032 = 2⁵ × 41¹ × 61¹

Step-3: Factors of 80020

List of positive integer factors of 80020 that divides 80020 without a remainder.

1, 2, 4, 5, 10, 20, 4001, 8002, 16004, 20005, 40010

Step-4: Factors of 80032

List of positive integer factors of 80032 that divides 80020 without a remainder.

1, 2, 4, 8, 16, 32, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 1312, 1952, 2501, 5002, 10004, 20008, 40016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80020 and 80032. The biggest common factor number is the GCF number.
So the greatest common factor 80020 and 80032 is 4.

Also check out the Least Common Multiple of 80020 and 80032