What is the Greatest Common Factor of 47136 and 47142?

Greatest common factor (GCF) of 47136 and 47142 is 6.

GCF(47136,47142) = 6

We will now calculate the prime factors of 47136 and 47142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47136 and 47142.

How to find the GCF of 47136 and 47142?

We will first find the prime factorization of 47136 and 47142. After we will calculate the factors of 47136 and 47142 and find the biggest common factor number .

Step-1: Prime Factorization of 47136

Prime factors of 47136 are 2, 3, 491. Prime factorization of 47136 in exponential form is:

47136 = 2⁵ × 3¹ × 491¹

Step-2: 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-3: Factors of 47136

List of positive integer factors of 47136 that divides 47136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 491, 982, 1473, 1964, 2946, 3928, 5892, 7856, 11784, 15712, 23568

Step-4: Factors of 47142

List of positive integer factors of 47142 that divides 47136 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47136 and 47142. The biggest common factor number is the GCF number.
So the greatest common factor 47136 and 47142 is 6.

Also check out the Least Common Multiple of 47136 and 47142