What is the Greatest Common Factor of 57171 and 57190?

Greatest common factor (GCF) of 57171 and 57190 is 19.

GCF(57171,57190) = 19

We will now calculate the prime factors of 57171 and 57190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57171 and 57190.

How to find the GCF of 57171 and 57190?

We will first find the prime factorization of 57171 and 57190. After we will calculate the factors of 57171 and 57190 and find the biggest common factor number .

Step-1: Prime Factorization of 57171

Prime factors of 57171 are 3, 17, 19, 59. Prime factorization of 57171 in exponential form is:

57171 = 3¹ × 17¹ × 19¹ × 59¹

Step-2: Prime Factorization of 57190

Prime factors of 57190 are 2, 5, 7, 19, 43. Prime factorization of 57190 in exponential form is:

57190 = 2¹ × 5¹ × 7¹ × 19¹ × 43¹

Step-3: Factors of 57171

List of positive integer factors of 57171 that divides 57171 without a remainder.

1, 3, 17, 19, 51, 57, 59, 177, 323, 969, 1003, 1121, 3009, 3363, 19057

Step-4: Factors of 57190

List of positive integer factors of 57190 that divides 57171 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 43, 70, 86, 95, 133, 190, 215, 266, 301, 430, 602, 665, 817, 1330, 1505, 1634, 3010, 4085, 5719, 8170, 11438, 28595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57171 and 57190. The biggest common factor number is the GCF number.
So the greatest common factor 57171 and 57190 is 19.

Also check out the Least Common Multiple of 57171 and 57190