What is the Greatest Common Factor of 56100 and 56112?

Greatest common factor (GCF) of 56100 and 56112 is 12.

GCF(56100,56112) = 12

We will now calculate the prime factors of 56100 and 56112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56100 and 56112.

How to find the GCF of 56100 and 56112?

We will first find the prime factorization of 56100 and 56112. After we will calculate the factors of 56100 and 56112 and find the biggest common factor number .

Step-1: Prime Factorization of 56100

Prime factors of 56100 are 2, 3, 5, 11, 17. Prime factorization of 56100 in exponential form is:

56100 = 2² × 3¹ × 5² × 11¹ × 17¹

Step-2: Prime Factorization of 56112

Prime factors of 56112 are 2, 3, 7, 167. Prime factorization of 56112 in exponential form is:

56112 = 2⁴ × 3¹ × 7¹ × 167¹

Step-3: Factors of 56100

List of positive integer factors of 56100 that divides 56100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 17, 20, 22, 25, 30, 33, 34, 44, 50, 51, 55, 60, 66, 68, 75, 85, 100, 102, 110, 132, 150, 165, 170, 187, 204, 220, 255, 275, 300, 330, 340, 374, 425, 510, 550, 561, 660, 748, 825, 850, 935, 1020, 1100, 1122, 1275, 1650, 1700, 1870, 2244, 2550, 2805, 3300, 3740, 4675, 5100, 5610, 9350, 11220, 14025, 18700, 28050

Step-4: Factors of 56112

List of positive integer factors of 56112 that divides 56100 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 167, 168, 334, 336, 501, 668, 1002, 1169, 1336, 2004, 2338, 2672, 3507, 4008, 4676, 7014, 8016, 9352, 14028, 18704, 28056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56100 and 56112. The biggest common factor number is the GCF number.
So the greatest common factor 56100 and 56112 is 12.

Also check out the Least Common Multiple of 56100 and 56112