What is the Greatest Common Factor of 90144 and 90162?

Greatest common factor (GCF) of 90144 and 90162 is 18.

GCF(90144,90162) = 18

We will now calculate the prime factors of 90144 and 90162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90144 and 90162.

How to find the GCF of 90144 and 90162?

We will first find the prime factorization of 90144 and 90162. After we will calculate the factors of 90144 and 90162 and find the biggest common factor number .

Step-1: Prime Factorization of 90144

Prime factors of 90144 are 2, 3, 313. Prime factorization of 90144 in exponential form is:

90144 = 2⁵ × 3² × 313¹

Step-2: Prime Factorization of 90162

Prime factors of 90162 are 2, 3, 5009. Prime factorization of 90162 in exponential form is:

90162 = 2¹ × 3² × 5009¹

Step-3: Factors of 90144

List of positive integer factors of 90144 that divides 90144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 313, 626, 939, 1252, 1878, 2504, 2817, 3756, 5008, 5634, 7512, 10016, 11268, 15024, 22536, 30048, 45072

Step-4: Factors of 90162

List of positive integer factors of 90162 that divides 90144 without a remainder.

1, 2, 3, 6, 9, 18, 5009, 10018, 15027, 30054, 45081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90144 and 90162. The biggest common factor number is the GCF number.
So the greatest common factor 90144 and 90162 is 18.

Also check out the Least Common Multiple of 90144 and 90162