What is the Greatest Common Factor of 94560 and 94566?

Greatest common factor (GCF) of 94560 and 94566 is 6.

GCF(94560,94566) = 6

We will now calculate the prime factors of 94560 and 94566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94560 and 94566.

How to find the GCF of 94560 and 94566?

We will first find the prime factorization of 94560 and 94566. After we will calculate the factors of 94560 and 94566 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94566

Prime factors of 94566 are 2, 3, 15761. Prime factorization of 94566 in exponential form is:

94566 = 2¹ × 3¹ × 15761¹

Step-3: Factors of 94560

List of positive integer factors of 94560 that divides 94560 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

Step-4: Factors of 94566

List of positive integer factors of 94566 that divides 94560 without a remainder.

1, 2, 3, 6, 15761, 31522, 47283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94560 and 94566. The biggest common factor number is the GCF number.
So the greatest common factor 94560 and 94566 is 6.

Also check out the Least Common Multiple of 94560 and 94566