What is the Greatest Common Factor of 20080 and 20096?

Greatest common factor (GCF) of 20080 and 20096 is 16.

GCF(20080,20096) = 16

We will now calculate the prime factors of 20080 and 20096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20080 and 20096.

How to find the GCF of 20080 and 20096?

We will first find the prime factorization of 20080 and 20096. After we will calculate the factors of 20080 and 20096 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 20096

Prime factors of 20096 are 2, 157. Prime factorization of 20096 in exponential form is:

20096 = 2⁷ × 157¹

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 20096

List of positive integer factors of 20096 that divides 20080 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 157, 314, 628, 1256, 2512, 5024, 10048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20080 and 20096. The biggest common factor number is the GCF number.
So the greatest common factor 20080 and 20096 is 16.

Also check out the Least Common Multiple of 20080 and 20096