What is the Greatest Common Factor of 94560 and 94579?

Greatest common factor (GCF) of 94560 and 94579 is 1.

GCF(94560,94579) = 1

We will now calculate the prime factors of 94560 and 94579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94560 and 94579.

How to find the GCF of 94560 and 94579?

We will first find the prime factorization of 94560 and 94579. After we will calculate the factors of 94560 and 94579 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 94579

Prime factors of 94579 are 271, 349. Prime factorization of 94579 in exponential form is:

94579 = 271¹ × 349¹

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 94579

List of positive integer factors of 94579 that divides 94560 without a remainder.

1, 271, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94560 and 94579. The biggest common factor number is the GCF number.
So the greatest common factor 94560 and 94579 is 1.

Also check out the Least Common Multiple of 94560 and 94579