What is the Greatest Common Factor of 47142 and 47160?

Greatest common factor (GCF) of 47142 and 47160 is 18.

GCF(47142,47160) = 18

We will now calculate the prime factors of 47142 and 47160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47142 and 47160.

How to find the GCF of 47142 and 47160?

We will first find the prime factorization of 47142 and 47160. After we will calculate the factors of 47142 and 47160 and find the biggest common factor number .

Step-1: Prime Factorization of 47142

Prime factors of 47142 are 2, 3, 97. Prime factorization of 47142 in exponential form is:

47142 = 2¹ × 3⁵ × 97¹

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 47142

List of positive integer factors of 47142 that divides 47142 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 97, 162, 194, 243, 291, 486, 582, 873, 1746, 2619, 5238, 7857, 15714, 23571

Step-4: Factors of 47160

List of positive integer factors of 47160 that divides 47142 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 47142 and 47160. The biggest common factor number is the GCF number.
So the greatest common factor 47142 and 47160 is 18.

Also check out the Least Common Multiple of 47142 and 47160