What is the Greatest Common Factor of 47158 and 47162?

Greatest common factor (GCF) of 47158 and 47162 is 2.

GCF(47158,47162) = 2

We will now calculate the prime factors of 47158 and 47162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47158 and 47162.

How to find the GCF of 47158 and 47162?

We will first find the prime factorization of 47158 and 47162. After we will calculate the factors of 47158 and 47162 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47162

Prime factors of 47162 are 2, 23581. Prime factorization of 47162 in exponential form is:

47162 = 2¹ × 23581¹

Step-3: Factors of 47158

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

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

Step-4: Factors of 47162

List of positive integer factors of 47162 that divides 47158 without a remainder.

1, 2, 23581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47158 and 47162. The biggest common factor number is the GCF number.
So the greatest common factor 47158 and 47162 is 2.

Also check out the Least Common Multiple of 47158 and 47162