What is the Greatest Common Factor of 94584 and 94590?

Greatest common factor (GCF) of 94584 and 94590 is 6.

GCF(94584,94590) = 6

We will now calculate the prime factors of 94584 and 94590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94584 and 94590.

How to find the GCF of 94584 and 94590?

We will first find the prime factorization of 94584 and 94590. After we will calculate the factors of 94584 and 94590 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 94590

Prime factors of 94590 are 2, 3, 5, 1051. Prime factorization of 94590 in exponential form is:

94590 = 2¹ × 3² × 5¹ × 1051¹

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 94590

List of positive integer factors of 94590 that divides 94584 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1051, 2102, 3153, 5255, 6306, 9459, 10510, 15765, 18918, 31530, 47295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94584 and 94590. The biggest common factor number is the GCF number.
So the greatest common factor 94584 and 94590 is 6.

Also check out the Least Common Multiple of 94584 and 94590