What is the Greatest Common Factor of 94545 and 94560?

Greatest common factor (GCF) of 94545 and 94560 is 15.

GCF(94545,94560) = 15

We will now calculate the prime factors of 94545 and 94560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94545 and 94560.

How to find the GCF of 94545 and 94560?

We will first find the prime factorization of 94545 and 94560. After we will calculate the factors of 94545 and 94560 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 94560

Prime factors of 94560 are 2, 3, 5, 197. Prime factorization of 94560 in exponential form is:

94560 = 2⁵ × 3¹ × 5¹ × 197¹

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 94560

List of positive integer factors of 94560 that divides 94545 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 197, 240, 394, 480, 591, 788, 985, 1182, 1576, 1970, 2364, 2955, 3152, 3940, 4728, 5910, 6304, 7880, 9456, 11820, 15760, 18912, 23640, 31520, 47280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94545 and 94560. The biggest common factor number is the GCF number.
So the greatest common factor 94545 and 94560 is 15.

Also check out the Least Common Multiple of 94545 and 94560