What is the Greatest Common Factor of 57225 and 57232?

Greatest common factor (GCF) of 57225 and 57232 is 7.

GCF(57225,57232) = 7

We will now calculate the prime factors of 57225 and 57232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57225 and 57232.

How to find the GCF of 57225 and 57232?

We will first find the prime factorization of 57225 and 57232. After we will calculate the factors of 57225 and 57232 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 57232

Prime factors of 57232 are 2, 7, 73. Prime factorization of 57232 in exponential form is:

57232 = 2⁴ × 7² × 73¹

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 57232

List of positive integer factors of 57232 that divides 57225 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 73, 98, 112, 146, 196, 292, 392, 511, 584, 784, 1022, 1168, 2044, 3577, 4088, 7154, 8176, 14308, 28616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57225 and 57232. The biggest common factor number is the GCF number.
So the greatest common factor 57225 and 57232 is 7.

Also check out the Least Common Multiple of 57225 and 57232