What is the Greatest Common Factor of 20080 and 20084?

Greatest common factor (GCF) of 20080 and 20084 is 4.

GCF(20080,20084) = 4

We will now calculate the prime factors of 20080 and 20084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20080 and 20084.

How to find the GCF of 20080 and 20084?

We will first find the prime factorization of 20080 and 20084. After we will calculate the factors of 20080 and 20084 and find the biggest common factor number .

Step-1: Prime Factorization of 20080

Prime factors of 20080 are 2, 5, 251. Prime factorization of 20080 in exponential form is:

20080 = 2⁴ × 5¹ × 251¹

Step-2: Prime Factorization of 20084

Prime factors of 20084 are 2, 5021. Prime factorization of 20084 in exponential form is:

20084 = 2² × 5021¹

Step-3: Factors of 20080

List of positive integer factors of 20080 that divides 20080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 251, 502, 1004, 1255, 2008, 2510, 4016, 5020, 10040

Step-4: Factors of 20084

List of positive integer factors of 20084 that divides 20080 without a remainder.

1, 2, 4, 5021, 10042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20080 and 20084. The biggest common factor number is the GCF number.
So the greatest common factor 20080 and 20084 is 4.

Also check out the Least Common Multiple of 20080 and 20084