What is the Greatest Common Factor of 96045 and 96057?

Greatest common factor (GCF) of 96045 and 96057 is 3.

GCF(96045,96057) = 3

We will now calculate the prime factors of 96045 and 96057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96045 and 96057.

How to find the GCF of 96045 and 96057?

We will first find the prime factorization of 96045 and 96057. After we will calculate the factors of 96045 and 96057 and find the biggest common factor number .

Step-1: Prime Factorization of 96045

Prime factors of 96045 are 3, 5, 19, 337. Prime factorization of 96045 in exponential form is:

96045 = 3¹ × 5¹ × 19¹ × 337¹

Step-2: Prime Factorization of 96057

Prime factors of 96057 are 3, 13, 821. Prime factorization of 96057 in exponential form is:

96057 = 3² × 13¹ × 821¹

Step-3: Factors of 96045

List of positive integer factors of 96045 that divides 96045 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 337, 1011, 1685, 5055, 6403, 19209, 32015

Step-4: Factors of 96057

List of positive integer factors of 96057 that divides 96045 without a remainder.

1, 3, 9, 13, 39, 117, 821, 2463, 7389, 10673, 32019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96045 and 96057. The biggest common factor number is the GCF number.
So the greatest common factor 96045 and 96057 is 3.

Also check out the Least Common Multiple of 96045 and 96057