What is the Greatest Common Factor of 47138 and 47150?

Greatest common factor (GCF) of 47138 and 47150 is 2.

GCF(47138,47150) = 2

We will now calculate the prime factors of 47138 and 47150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47138 and 47150.

How to find the GCF of 47138 and 47150?

We will first find the prime factorization of 47138 and 47150. After we will calculate the factors of 47138 and 47150 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 47150

Prime factors of 47150 are 2, 5, 23, 41. Prime factorization of 47150 in exponential form is:

47150 = 2¹ × 5² × 23¹ × 41¹

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 47150

List of positive integer factors of 47150 that divides 47138 without a remainder.

1, 2, 5, 10, 23, 25, 41, 46, 50, 82, 115, 205, 230, 410, 575, 943, 1025, 1150, 1886, 2050, 4715, 9430, 23575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47138 and 47150. The biggest common factor number is the GCF number.
So the greatest common factor 47138 and 47150 is 2.

Also check out the Least Common Multiple of 47138 and 47150