What is the Greatest Common Factor of 47142 and 47156?

Greatest common factor (GCF) of 47142 and 47156 is 2.

GCF(47142,47156) = 2

We will now calculate the prime factors of 47142 and 47156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47142 and 47156.

How to find the GCF of 47142 and 47156?

We will first find the prime factorization of 47142 and 47156. After we will calculate the factors of 47142 and 47156 and find the biggest common factor number .

Step-1: Prime Factorization of 47142

Prime factors of 47142 are 2, 3, 97. Prime factorization of 47142 in exponential form is:

47142 = 2¹ × 3⁵ × 97¹

Step-2: Prime Factorization of 47156

Prime factors of 47156 are 2, 11789. Prime factorization of 47156 in exponential form is:

47156 = 2² × 11789¹

Step-3: Factors of 47142

List of positive integer factors of 47142 that divides 47142 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 97, 162, 194, 243, 291, 486, 582, 873, 1746, 2619, 5238, 7857, 15714, 23571

Step-4: Factors of 47156

List of positive integer factors of 47156 that divides 47142 without a remainder.

1, 2, 4, 11789, 23578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47142 and 47156. The biggest common factor number is the GCF number.
So the greatest common factor 47142 and 47156 is 2.

Also check out the Least Common Multiple of 47142 and 47156