What is the Greatest Common Factor of 47145 and 47158?

Greatest common factor (GCF) of 47145 and 47158 is 1.

GCF(47145,47158) = 1

We will now calculate the prime factors of 47145 and 47158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47145 and 47158.

How to find the GCF of 47145 and 47158?

We will first find the prime factorization of 47145 and 47158. After we will calculate the factors of 47145 and 47158 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 47158

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

47158 = 2¹ × 17¹ × 19¹ × 73¹

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 47158

List of positive integer factors of 47158 that divides 47145 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47145 and 47158. The biggest common factor number is the GCF number.
So the greatest common factor 47145 and 47158 is 1.

Also check out the Least Common Multiple of 47145 and 47158