What is the Greatest Common Factor of 47112 and 47125?

Greatest common factor (GCF) of 47112 and 47125 is 13.

GCF(47112,47125) = 13

We will now calculate the prime factors of 47112 and 47125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47112 and 47125.

How to find the GCF of 47112 and 47125?

We will first find the prime factorization of 47112 and 47125. After we will calculate the factors of 47112 and 47125 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47125

Prime factors of 47125 are 5, 13, 29. Prime factorization of 47125 in exponential form is:

47125 = 5³ × 13¹ × 29¹

Step-3: Factors of 47112

List of positive integer factors of 47112 that divides 47112 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

Step-4: Factors of 47125

List of positive integer factors of 47125 that divides 47112 without a remainder.

1, 5, 13, 25, 29, 65, 125, 145, 325, 377, 725, 1625, 1885, 3625, 9425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47112 and 47125. The biggest common factor number is the GCF number.
So the greatest common factor 47112 and 47125 is 13.

Also check out the Least Common Multiple of 47112 and 47125