What is the Greatest Common Factor of 47112 and 47129?

Greatest common factor (GCF) of 47112 and 47129 is 1.

GCF(47112,47129) = 1

We will now calculate the prime factors of 47112 and 47129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47112 and 47129.

How to find the GCF of 47112 and 47129?

We will first find the prime factorization of 47112 and 47129. After we will calculate the factors of 47112 and 47129 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 47129

Prime factors of 47129 are 47129. Prime factorization of 47129 in exponential form is:

47129 = 47129¹

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 47129

List of positive integer factors of 47129 that divides 47112 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47112 and 47129. The biggest common factor number is the GCF number.
So the greatest common factor 47112 and 47129 is 1.

Also check out the Least Common Multiple of 47112 and 47129