What is the Greatest Common Factor of 47112 and 47122?

Greatest common factor (GCF) of 47112 and 47122 is 2.

GCF(47112,47122) = 2

We will now calculate the prime factors of 47112 and 47122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47112 and 47122.

How to find the GCF of 47112 and 47122?

We will first find the prime factorization of 47112 and 47122. After we will calculate the factors of 47112 and 47122 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 47122

Prime factors of 47122 are 2, 23561. Prime factorization of 47122 in exponential form is:

47122 = 2¹ × 23561¹

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 47122

List of positive integer factors of 47122 that divides 47112 without a remainder.

1, 2, 23561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47112 and 47122. The biggest common factor number is the GCF number.
So the greatest common factor 47112 and 47122 is 2.

Also check out the Least Common Multiple of 47112 and 47122