What is the Greatest Common Factor of 57225 and 57231?

Greatest common factor (GCF) of 57225 and 57231 is 3.

GCF(57225,57231) = 3

We will now calculate the prime factors of 57225 and 57231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57225 and 57231.

How to find the GCF of 57225 and 57231?

We will first find the prime factorization of 57225 and 57231. After we will calculate the factors of 57225 and 57231 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57231

Prime factors of 57231 are 3, 6359. Prime factorization of 57231 in exponential form is:

57231 = 3² × 6359¹

Step-3: Factors of 57225

List of positive integer factors of 57225 that divides 57225 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

Step-4: Factors of 57231

List of positive integer factors of 57231 that divides 57225 without a remainder.

1, 3, 9, 6359, 19077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57225 and 57231. The biggest common factor number is the GCF number.
So the greatest common factor 57225 and 57231 is 3.

Also check out the Least Common Multiple of 57225 and 57231