What is the Greatest Common Factor of 94548 and 94560?

Greatest common factor (GCF) of 94548 and 94560 is 12.

GCF(94548,94560) = 12

We will now calculate the prime factors of 94548 and 94560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94548 and 94560.

How to find the GCF of 94548 and 94560?

We will first find the prime factorization of 94548 and 94560. After we will calculate the factors of 94548 and 94560 and find the biggest common factor number .

Step-1: Prime Factorization of 94548

Prime factors of 94548 are 2, 3, 7879. Prime factorization of 94548 in exponential form is:

94548 = 2² × 3¹ × 7879¹

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 94548

List of positive integer factors of 94548 that divides 94548 without a remainder.

1, 2, 3, 4, 6, 12, 7879, 15758, 23637, 31516, 47274

Step-4: Factors of 94560

List of positive integer factors of 94560 that divides 94548 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 94548 and 94560. The biggest common factor number is the GCF number.
So the greatest common factor 94548 and 94560 is 12.

Also check out the Least Common Multiple of 94548 and 94560