What is the Greatest Common Factor of 90126 and 90132?

Greatest common factor (GCF) of 90126 and 90132 is 6.

GCF(90126,90132) = 6

We will now calculate the prime factors of 90126 and 90132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90126 and 90132.

How to find the GCF of 90126 and 90132?

We will first find the prime factorization of 90126 and 90132. After we will calculate the factors of 90126 and 90132 and find the biggest common factor number .

Step-1: Prime Factorization of 90126

Prime factors of 90126 are 2, 3, 1669. Prime factorization of 90126 in exponential form is:

90126 = 2¹ × 3³ × 1669¹

Step-2: Prime Factorization of 90132

Prime factors of 90132 are 2, 3, 7, 29, 37. Prime factorization of 90132 in exponential form is:

90132 = 2² × 3¹ × 7¹ × 29¹ × 37¹

Step-3: Factors of 90126

List of positive integer factors of 90126 that divides 90126 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1669, 3338, 5007, 10014, 15021, 30042, 45063

Step-4: Factors of 90132

List of positive integer factors of 90132 that divides 90126 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 37, 42, 58, 74, 84, 87, 111, 116, 148, 174, 203, 222, 259, 348, 406, 444, 518, 609, 777, 812, 1036, 1073, 1218, 1554, 2146, 2436, 3108, 3219, 4292, 6438, 7511, 12876, 15022, 22533, 30044, 45066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90126 and 90132. The biggest common factor number is the GCF number.
So the greatest common factor 90126 and 90132 is 6.

Also check out the Least Common Multiple of 90126 and 90132