What is the Greatest Common Factor of 90012 and 90030?

Greatest common factor (GCF) of 90012 and 90030 is 6.

GCF(90012,90030) = 6

We will now calculate the prime factors of 90012 and 90030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90012 and 90030.

How to find the GCF of 90012 and 90030?

We will first find the prime factorization of 90012 and 90030. After we will calculate the factors of 90012 and 90030 and find the biggest common factor number .

Step-1: Prime Factorization of 90012

Prime factors of 90012 are 2, 3, 13, 577. Prime factorization of 90012 in exponential form is:

90012 = 2² × 3¹ × 13¹ × 577¹

Step-2: Prime Factorization of 90030

Prime factors of 90030 are 2, 3, 5, 3001. Prime factorization of 90030 in exponential form is:

90030 = 2¹ × 3¹ × 5¹ × 3001¹

Step-3: Factors of 90012

List of positive integer factors of 90012 that divides 90012 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 577, 1154, 1731, 2308, 3462, 6924, 7501, 15002, 22503, 30004, 45006

Step-4: Factors of 90030

List of positive integer factors of 90030 that divides 90012 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3001, 6002, 9003, 15005, 18006, 30010, 45015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90012 and 90030. The biggest common factor number is the GCF number.
So the greatest common factor 90012 and 90030 is 6.

Also check out the Least Common Multiple of 90012 and 90030