What is the Greatest Common Factor of 94890 and 94905?

Greatest common factor (GCF) of 94890 and 94905 is 15.

GCF(94890,94905) = 15

We will now calculate the prime factors of 94890 and 94905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94890 and 94905.

How to find the GCF of 94890 and 94905?

We will first find the prime factorization of 94890 and 94905. After we will calculate the factors of 94890 and 94905 and find the biggest common factor number .

Step-1: Prime Factorization of 94890

Prime factors of 94890 are 2, 3, 5, 3163. Prime factorization of 94890 in exponential form is:

94890 = 2¹ × 3¹ × 5¹ × 3163¹

Step-2: Prime Factorization of 94905

Prime factors of 94905 are 3, 5, 19, 37. Prime factorization of 94905 in exponential form is:

94905 = 3³ × 5¹ × 19¹ × 37¹

Step-3: Factors of 94890

List of positive integer factors of 94890 that divides 94890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3163, 6326, 9489, 15815, 18978, 31630, 47445

Step-4: Factors of 94905

List of positive integer factors of 94905 that divides 94890 without a remainder.

1, 3, 5, 9, 15, 19, 27, 37, 45, 57, 95, 111, 135, 171, 185, 285, 333, 513, 555, 703, 855, 999, 1665, 2109, 2565, 3515, 4995, 6327, 10545, 18981, 31635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94890 and 94905. The biggest common factor number is the GCF number.
So the greatest common factor 94890 and 94905 is 15.

Also check out the Least Common Multiple of 94890 and 94905