What is the Greatest Common Factor of 57005 and 57018?

Greatest common factor (GCF) of 57005 and 57018 is 13.

GCF(57005,57018) = 13

We will now calculate the prime factors of 57005 and 57018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57005 and 57018.

How to find the GCF of 57005 and 57018?

We will first find the prime factorization of 57005 and 57018. After we will calculate the factors of 57005 and 57018 and find the biggest common factor number .

Step-1: Prime Factorization of 57005

Prime factors of 57005 are 5, 13, 877. Prime factorization of 57005 in exponential form is:

57005 = 5¹ × 13¹ × 877¹

Step-2: Prime Factorization of 57018

Prime factors of 57018 are 2, 3, 13, 17, 43. Prime factorization of 57018 in exponential form is:

57018 = 2¹ × 3¹ × 13¹ × 17¹ × 43¹

Step-3: Factors of 57005

List of positive integer factors of 57005 that divides 57005 without a remainder.

1, 5, 13, 65, 877, 4385, 11401

Step-4: Factors of 57018

List of positive integer factors of 57018 that divides 57005 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 43, 51, 78, 86, 102, 129, 221, 258, 442, 559, 663, 731, 1118, 1326, 1462, 1677, 2193, 3354, 4386, 9503, 19006, 28509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57005 and 57018. The biggest common factor number is the GCF number.
So the greatest common factor 57005 and 57018 is 13.

Also check out the Least Common Multiple of 57005 and 57018