What is the Greatest Common Factor of 20096 and 20112?

Greatest common factor (GCF) of 20096 and 20112 is 16.

GCF(20096,20112) = 16

We will now calculate the prime factors of 20096 and 20112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20096 and 20112.

How to find the GCF of 20096 and 20112?

We will first find the prime factorization of 20096 and 20112. After we will calculate the factors of 20096 and 20112 and find the biggest common factor number .

Step-1: Prime Factorization of 20096

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

20096 = 2⁷ × 157¹

Step-2: Prime Factorization of 20112

Prime factors of 20112 are 2, 3, 419. Prime factorization of 20112 in exponential form is:

20112 = 2⁴ × 3¹ × 419¹

Step-3: Factors of 20096

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

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

Step-4: Factors of 20112

List of positive integer factors of 20112 that divides 20096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 419, 838, 1257, 1676, 2514, 3352, 5028, 6704, 10056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20096 and 20112. The biggest common factor number is the GCF number.
So the greatest common factor 20096 and 20112 is 16.

Also check out the Least Common Multiple of 20096 and 20112