What is the Greatest Common Factor of 47160 and 47175?

Greatest common factor (GCF) of 47160 and 47175 is 15.

GCF(47160,47175) = 15

We will now calculate the prime factors of 47160 and 47175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47160 and 47175.

How to find the GCF of 47160 and 47175?

We will first find the prime factorization of 47160 and 47175. After we will calculate the factors of 47160 and 47175 and find the biggest common factor number .

Step-1: Prime Factorization of 47160

Prime factors of 47160 are 2, 3, 5, 131. Prime factorization of 47160 in exponential form is:

47160 = 2³ × 3² × 5¹ × 131¹

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 47160

List of positive integer factors of 47160 that divides 47160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 131, 180, 262, 360, 393, 524, 655, 786, 1048, 1179, 1310, 1572, 1965, 2358, 2620, 3144, 3930, 4716, 5240, 5895, 7860, 9432, 11790, 15720, 23580

Step-4: Factors of 47175

List of positive integer factors of 47175 that divides 47160 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 47160 and 47175. The biggest common factor number is the GCF number.
So the greatest common factor 47160 and 47175 is 15.

Also check out the Least Common Multiple of 47160 and 47175