What is the Greatest Common Factor of 47158 and 47175?

Greatest common factor (GCF) of 47158 and 47175 is 17.

GCF(47158,47175) = 17

We will now calculate the prime factors of 47158 and 47175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47158 and 47175.

How to find the GCF of 47158 and 47175?

We will first find the prime factorization of 47158 and 47175. After we will calculate the factors of 47158 and 47175 and find the biggest common factor number .

Step-1: Prime Factorization of 47158

Prime factors of 47158 are 2, 17, 19, 73. Prime factorization of 47158 in exponential form is:

47158 = 2¹ × 17¹ × 19¹ × 73¹

Step-2: Prime Factorization of 47175

Prime factors of 47175 are 3, 5, 17, 37. Prime factorization of 47175 in exponential form is:

47175 = 3¹ × 5² × 17¹ × 37¹

Step-3: Factors of 47158

List of positive integer factors of 47158 that divides 47158 without a remainder.

1, 2, 17, 19, 34, 38, 73, 146, 323, 646, 1241, 1387, 2482, 2774, 23579

Step-4: Factors of 47175

List of positive integer factors of 47175 that divides 47158 without a remainder.

1, 3, 5, 15, 17, 25, 37, 51, 75, 85, 111, 185, 255, 425, 555, 629, 925, 1275, 1887, 2775, 3145, 9435, 15725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47158 and 47175. The biggest common factor number is the GCF number.
So the greatest common factor 47158 and 47175 is 17.

Also check out the Least Common Multiple of 47158 and 47175