What is the Greatest Common Factor of 47100 and 47112?

Greatest common factor (GCF) of 47100 and 47112 is 12.

GCF(47100,47112) = 12

We will now calculate the prime factors of 47100 and 47112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47100 and 47112.

How to find the GCF of 47100 and 47112?

We will first find the prime factorization of 47100 and 47112. After we will calculate the factors of 47100 and 47112 and find the biggest common factor number .

Step-1: Prime Factorization of 47100

Prime factors of 47100 are 2, 3, 5, 157. Prime factorization of 47100 in exponential form is:

47100 = 2² × 3¹ × 5² × 157¹

Step-2: Prime Factorization of 47112

Prime factors of 47112 are 2, 3, 13, 151. Prime factorization of 47112 in exponential form is:

47112 = 2³ × 3¹ × 13¹ × 151¹

Step-3: Factors of 47100

List of positive integer factors of 47100 that divides 47100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 157, 300, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 3925, 4710, 7850, 9420, 11775, 15700, 23550

Step-4: Factors of 47112

List of positive integer factors of 47112 that divides 47100 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 151, 156, 302, 312, 453, 604, 906, 1208, 1812, 1963, 3624, 3926, 5889, 7852, 11778, 15704, 23556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47100 and 47112. The biggest common factor number is the GCF number.
So the greatest common factor 47100 and 47112 is 12.

Also check out the Least Common Multiple of 47100 and 47112