What is the Greatest Common Factor of 20100 and 20112?

Greatest common factor (GCF) of 20100 and 20112 is 12.

GCF(20100,20112) = 12

We will now calculate the prime factors of 20100 and 20112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20100 and 20112.

How to find the GCF of 20100 and 20112?

We will first find the prime factorization of 20100 and 20112. After we will calculate the factors of 20100 and 20112 and find the biggest common factor number .

Step-1: Prime Factorization of 20100

Prime factors of 20100 are 2, 3, 5, 67. Prime factorization of 20100 in exponential form is:

20100 = 2² × 3¹ × 5² × 67¹

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 20100

List of positive integer factors of 20100 that divides 20100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 67, 75, 100, 134, 150, 201, 268, 300, 335, 402, 670, 804, 1005, 1340, 1675, 2010, 3350, 4020, 5025, 6700, 10050

Step-4: Factors of 20112

List of positive integer factors of 20112 that divides 20100 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 20100 and 20112. The biggest common factor number is the GCF number.
So the greatest common factor 20100 and 20112 is 12.

Also check out the Least Common Multiple of 20100 and 20112