What is the Greatest Common Factor of 94572 and 94590?

Greatest common factor (GCF) of 94572 and 94590 is 18.

GCF(94572,94590) = 18

We will now calculate the prime factors of 94572 and 94590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94572 and 94590.

How to find the GCF of 94572 and 94590?

We will first find the prime factorization of 94572 and 94590. After we will calculate the factors of 94572 and 94590 and find the biggest common factor number .

Step-1: Prime Factorization of 94572

Prime factors of 94572 are 2, 3, 37, 71. Prime factorization of 94572 in exponential form is:

94572 = 2² × 3² × 37¹ × 71¹

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 94572

List of positive integer factors of 94572 that divides 94572 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 71, 74, 111, 142, 148, 213, 222, 284, 333, 426, 444, 639, 666, 852, 1278, 1332, 2556, 2627, 5254, 7881, 10508, 15762, 23643, 31524, 47286

Step-4: Factors of 94590

List of positive integer factors of 94590 that divides 94572 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 94572 and 94590. The biggest common factor number is the GCF number.
So the greatest common factor 94572 and 94590 is 18.

Also check out the Least Common Multiple of 94572 and 94590