What is the Greatest Common Factor of 94584 and 94600?

Greatest common factor (GCF) of 94584 and 94600 is 8.

GCF(94584,94600) = 8

We will now calculate the prime factors of 94584 and 94600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94584 and 94600.

How to find the GCF of 94584 and 94600?

We will first find the prime factorization of 94584 and 94600. After we will calculate the factors of 94584 and 94600 and find the biggest common factor number .

Step-1: Prime Factorization of 94584

Prime factors of 94584 are 2, 3, 7, 563. Prime factorization of 94584 in exponential form is:

94584 = 2³ × 3¹ × 7¹ × 563¹

Step-2: Prime Factorization of 94600

Prime factors of 94600 are 2, 5, 11, 43. Prime factorization of 94600 in exponential form is:

94600 = 2³ × 5² × 11¹ × 43¹

Step-3: Factors of 94584

List of positive integer factors of 94584 that divides 94584 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 563, 1126, 1689, 2252, 3378, 3941, 4504, 6756, 7882, 11823, 13512, 15764, 23646, 31528, 47292

Step-4: Factors of 94600

List of positive integer factors of 94600 that divides 94584 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 43, 44, 50, 55, 86, 88, 100, 110, 172, 200, 215, 220, 275, 344, 430, 440, 473, 550, 860, 946, 1075, 1100, 1720, 1892, 2150, 2200, 2365, 3784, 4300, 4730, 8600, 9460, 11825, 18920, 23650, 47300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94584 and 94600. The biggest common factor number is the GCF number.
So the greatest common factor 94584 and 94600 is 8.

Also check out the Least Common Multiple of 94584 and 94600