What is the Greatest Common Factor of 94545 and 94565?

Greatest common factor (GCF) of 94545 and 94565 is 5.

GCF(94545,94565) = 5

We will now calculate the prime factors of 94545 and 94565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94545 and 94565.

How to find the GCF of 94545 and 94565?

We will first find the prime factorization of 94545 and 94565. After we will calculate the factors of 94545 and 94565 and find the biggest common factor number .

Step-1: Prime Factorization of 94545

Prime factors of 94545 are 3, 5, 11, 191. Prime factorization of 94545 in exponential form is:

94545 = 3² × 5¹ × 11¹ × 191¹

Step-2: Prime Factorization of 94565

Prime factors of 94565 are 5, 18913. Prime factorization of 94565 in exponential form is:

94565 = 5¹ × 18913¹

Step-3: Factors of 94545

List of positive integer factors of 94545 that divides 94545 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 191, 495, 573, 955, 1719, 2101, 2865, 6303, 8595, 10505, 18909, 31515

Step-4: Factors of 94565

List of positive integer factors of 94565 that divides 94545 without a remainder.

1, 5, 18913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94545 and 94565. The biggest common factor number is the GCF number.
So the greatest common factor 94545 and 94565 is 5.

Also check out the Least Common Multiple of 94545 and 94565