What is the Greatest Common Factor of 50100 and 50112?

Greatest common factor (GCF) of 50100 and 50112 is 12.

GCF(50100,50112) = 12

We will now calculate the prime factors of 50100 and 50112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50100 and 50112.

How to find the GCF of 50100 and 50112?

We will first find the prime factorization of 50100 and 50112. After we will calculate the factors of 50100 and 50112 and find the biggest common factor number .

Step-1: Prime Factorization of 50100

Prime factors of 50100 are 2, 3, 5, 167. Prime factorization of 50100 in exponential form is:

50100 = 2² × 3¹ × 5² × 167¹

Step-2: Prime Factorization of 50112

Prime factors of 50112 are 2, 3, 29. Prime factorization of 50112 in exponential form is:

50112 = 2⁶ × 3³ × 29¹

Step-3: Factors of 50100

List of positive integer factors of 50100 that divides 50100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 167, 300, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 4175, 5010, 8350, 10020, 12525, 16700, 25050

Step-4: Factors of 50112

List of positive integer factors of 50112 that divides 50100 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 32, 36, 48, 54, 58, 64, 72, 87, 96, 108, 116, 144, 174, 192, 216, 232, 261, 288, 348, 432, 464, 522, 576, 696, 783, 864, 928, 1044, 1392, 1566, 1728, 1856, 2088, 2784, 3132, 4176, 5568, 6264, 8352, 12528, 16704, 25056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50100 and 50112. The biggest common factor number is the GCF number.
So the greatest common factor 50100 and 50112 is 12.

Also check out the Least Common Multiple of 50100 and 50112