What is the Greatest Common Factor of 47138 and 47151?

Greatest common factor (GCF) of 47138 and 47151 is 13.

GCF(47138,47151) = 13

We will now calculate the prime factors of 47138 and 47151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47138 and 47151.

How to find the GCF of 47138 and 47151?

We will first find the prime factorization of 47138 and 47151. After we will calculate the factors of 47138 and 47151 and find the biggest common factor number .

Step-1: Prime Factorization of 47138

Prime factors of 47138 are 2, 7, 13, 37. Prime factorization of 47138 in exponential form is:

47138 = 2¹ × 7² × 13¹ × 37¹

Step-2: 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-3: Factors of 47138

List of positive integer factors of 47138 that divides 47138 without a remainder.

1, 2, 7, 13, 14, 26, 37, 49, 74, 91, 98, 182, 259, 481, 518, 637, 962, 1274, 1813, 3367, 3626, 6734, 23569

Step-4: Factors of 47151

List of positive integer factors of 47151 that divides 47138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47138 and 47151. The biggest common factor number is the GCF number.
So the greatest common factor 47138 and 47151 is 13.

Also check out the Least Common Multiple of 47138 and 47151