What is the Greatest Common Factor of 47150 and 47170?

Greatest common factor (GCF) of 47150 and 47170 is 10.

GCF(47150,47170) = 10

We will now calculate the prime factors of 47150 and 47170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47150 and 47170.

How to find the GCF of 47150 and 47170?

We will first find the prime factorization of 47150 and 47170. After we will calculate the factors of 47150 and 47170 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47170

Prime factors of 47170 are 2, 5, 53, 89. Prime factorization of 47170 in exponential form is:

47170 = 2¹ × 5¹ × 53¹ × 89¹

Step-3: Factors of 47150

List of positive integer factors of 47150 that divides 47150 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

Step-4: Factors of 47170

List of positive integer factors of 47170 that divides 47150 without a remainder.

1, 2, 5, 10, 53, 89, 106, 178, 265, 445, 530, 890, 4717, 9434, 23585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47150 and 47170. The biggest common factor number is the GCF number.
So the greatest common factor 47150 and 47170 is 10.

Also check out the Least Common Multiple of 47150 and 47170