What is the Greatest Common Factor of 96045 and 96050?

Greatest common factor (GCF) of 96045 and 96050 is 5.

GCF(96045,96050) = 5

We will now calculate the prime factors of 96045 and 96050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96045 and 96050.

How to find the GCF of 96045 and 96050?

We will first find the prime factorization of 96045 and 96050. After we will calculate the factors of 96045 and 96050 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 96050

Prime factors of 96050 are 2, 5, 17, 113. Prime factorization of 96050 in exponential form is:

96050 = 2¹ × 5² × 17¹ × 113¹

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 96050

List of positive integer factors of 96050 that divides 96045 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 113, 170, 226, 425, 565, 850, 1130, 1921, 2825, 3842, 5650, 9605, 19210, 48025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96045 and 96050. The biggest common factor number is the GCF number.
So the greatest common factor 96045 and 96050 is 5.

Also check out the Least Common Multiple of 96045 and 96050