What is the Greatest Common Factor of 94225 and 94230?

Greatest common factor (GCF) of 94225 and 94230 is 5.

GCF(94225,94230) = 5

We will now calculate the prime factors of 94225 and 94230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94225 and 94230.

How to find the GCF of 94225 and 94230?

We will first find the prime factorization of 94225 and 94230. After we will calculate the factors of 94225 and 94230 and find the biggest common factor number .

Step-1: Prime Factorization of 94225

Prime factors of 94225 are 5, 3769. Prime factorization of 94225 in exponential form is:

94225 = 5² × 3769¹

Step-2: Prime Factorization of 94230

Prime factors of 94230 are 2, 3, 5, 349. Prime factorization of 94230 in exponential form is:

94230 = 2¹ × 3³ × 5¹ × 349¹

Step-3: Factors of 94225

List of positive integer factors of 94225 that divides 94225 without a remainder.

1, 5, 25, 3769, 18845

Step-4: Factors of 94230

List of positive integer factors of 94230 that divides 94225 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 349, 698, 1047, 1745, 2094, 3141, 3490, 5235, 6282, 9423, 10470, 15705, 18846, 31410, 47115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94225 and 94230. The biggest common factor number is the GCF number.
So the greatest common factor 94225 and 94230 is 5.

Also check out the Least Common Multiple of 94225 and 94230