What is the Greatest Common Factor of 47151 and 47159?

Greatest common factor (GCF) of 47151 and 47159 is 1.

GCF(47151,47159) = 1

We will now calculate the prime factors of 47151 and 47159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47151 and 47159.

How to find the GCF of 47151 and 47159?

We will first find the prime factorization of 47151 and 47159. After we will calculate the factors of 47151 and 47159 and find the biggest common factor number .

Step-1: Prime Factorization of 47151

Prime factors of 47151 are 3, 13, 31. Prime factorization of 47151 in exponential form is:

47151 = 3² × 13² × 31¹

Step-2: Prime Factorization of 47159

Prime factors of 47159 are 7, 6737. Prime factorization of 47159 in exponential form is:

47159 = 7¹ × 6737¹

Step-3: Factors of 47151

List of positive integer factors of 47151 that divides 47151 without a remainder.

1, 3, 9, 13, 31, 39, 93, 117, 169, 279, 403, 507, 1209, 1521, 3627, 5239, 15717

Step-4: Factors of 47159

List of positive integer factors of 47159 that divides 47151 without a remainder.

1, 7, 6737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47151 and 47159. The biggest common factor number is the GCF number.
So the greatest common factor 47151 and 47159 is 1.

Also check out the Least Common Multiple of 47151 and 47159