What is the Greatest Common Factor of 47142 and 47147?

Greatest common factor (GCF) of 47142 and 47147 is 1.

GCF(47142,47147) = 1

We will now calculate the prime factors of 47142 and 47147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47142 and 47147.

How to find the GCF of 47142 and 47147?

We will first find the prime factorization of 47142 and 47147. After we will calculate the factors of 47142 and 47147 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 47147

Prime factors of 47147 are 47147. Prime factorization of 47147 in exponential form is:

47147 = 47147¹

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 47147

List of positive integer factors of 47147 that divides 47142 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47142 and 47147. The biggest common factor number is the GCF number.
So the greatest common factor 47142 and 47147 is 1.

Also check out the Least Common Multiple of 47142 and 47147