What is the Greatest Common Factor of 90162 and 90172?

Greatest common factor (GCF) of 90162 and 90172 is 2.

GCF(90162,90172) = 2

We will now calculate the prime factors of 90162 and 90172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90162 and 90172.

How to find the GCF of 90162 and 90172?

We will first find the prime factorization of 90162 and 90172. After we will calculate the factors of 90162 and 90172 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90172

Prime factors of 90172 are 2, 22543. Prime factorization of 90172 in exponential form is:

90172 = 2² × 22543¹

Step-3: Factors of 90162

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

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

Step-4: Factors of 90172

List of positive integer factors of 90172 that divides 90162 without a remainder.

1, 2, 4, 22543, 45086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90162 and 90172. The biggest common factor number is the GCF number.
So the greatest common factor 90162 and 90172 is 2.

Also check out the Least Common Multiple of 90162 and 90172