What is the Greatest Common Factor of 47145 and 47160?

Greatest common factor (GCF) of 47145 and 47160 is 15.

GCF(47145,47160) = 15

We will now calculate the prime factors of 47145 and 47160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47145 and 47160.

How to find the GCF of 47145 and 47160?

We will first find the prime factorization of 47145 and 47160. After we will calculate the factors of 47145 and 47160 and find the biggest common factor number .

Step-1: Prime Factorization of 47145

Prime factors of 47145 are 3, 5, 7, 449. Prime factorization of 47145 in exponential form is:

47145 = 3¹ × 5¹ × 7¹ × 449¹

Step-2: 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-3: Factors of 47145

List of positive integer factors of 47145 that divides 47145 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 449, 1347, 2245, 3143, 6735, 9429, 15715

Step-4: Factors of 47160

List of positive integer factors of 47160 that divides 47145 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47145 and 47160. The biggest common factor number is the GCF number.
So the greatest common factor 47145 and 47160 is 15.

Also check out the Least Common Multiple of 47145 and 47160