What is the Greatest Common Factor of 47158 and 47177?

Greatest common factor (GCF) of 47158 and 47177 is 19.

GCF(47158,47177) = 19

We will now calculate the prime factors of 47158 and 47177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47158 and 47177.

How to find the GCF of 47158 and 47177?

We will first find the prime factorization of 47158 and 47177. After we will calculate the factors of 47158 and 47177 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 47177

Prime factors of 47177 are 13, 19, 191. Prime factorization of 47177 in exponential form is:

47177 = 13¹ × 19¹ × 191¹

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 47177

List of positive integer factors of 47177 that divides 47158 without a remainder.

1, 13, 19, 191, 247, 2483, 3629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47158 and 47177. The biggest common factor number is the GCF number.
So the greatest common factor 47158 and 47177 is 19.

Also check out the Least Common Multiple of 47158 and 47177