What is the Greatest Common Factor of 57213 and 57225?

Greatest common factor (GCF) of 57213 and 57225 is 3.

GCF(57213,57225) = 3

We will now calculate the prime factors of 57213 and 57225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57213 and 57225.

How to find the GCF of 57213 and 57225?

We will first find the prime factorization of 57213 and 57225. After we will calculate the factors of 57213 and 57225 and find the biggest common factor number .

Step-1: Prime Factorization of 57213

Prime factors of 57213 are 3, 13, 163. Prime factorization of 57213 in exponential form is:

57213 = 3³ × 13¹ × 163¹

Step-2: Prime Factorization of 57225

Prime factors of 57225 are 3, 5, 7, 109. Prime factorization of 57225 in exponential form is:

57225 = 3¹ × 5² × 7¹ × 109¹

Step-3: Factors of 57213

List of positive integer factors of 57213 that divides 57213 without a remainder.

1, 3, 9, 13, 27, 39, 117, 163, 351, 489, 1467, 2119, 4401, 6357, 19071

Step-4: Factors of 57225

List of positive integer factors of 57225 that divides 57213 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 109, 175, 327, 525, 545, 763, 1635, 2289, 2725, 3815, 8175, 11445, 19075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57213 and 57225. The biggest common factor number is the GCF number.
So the greatest common factor 57213 and 57225 is 3.

Also check out the Least Common Multiple of 57213 and 57225