What is the Greatest Common Factor of 47170 and 47175?

Greatest common factor (GCF) of 47170 and 47175 is 5.

GCF(47170,47175) = 5

We will now calculate the prime factors of 47170 and 47175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47170 and 47175.

How to find the GCF of 47170 and 47175?

We will first find the prime factorization of 47170 and 47175. After we will calculate the factors of 47170 and 47175 and find the biggest common factor number .

Step-1: 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-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 47170

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

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

Step-4: Factors of 47175

List of positive integer factors of 47175 that divides 47170 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 47170 and 47175. The biggest common factor number is the GCF number.
So the greatest common factor 47170 and 47175 is 5.

Also check out the Least Common Multiple of 47170 and 47175