What is the Greatest Common Factor of 90162 and 90170?

Greatest common factor (GCF) of 90162 and 90170 is 2.

GCF(90162,90170) = 2

We will now calculate the prime factors of 90162 and 90170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90162 and 90170.

How to find the GCF of 90162 and 90170?

We will first find the prime factorization of 90162 and 90170. After we will calculate the factors of 90162 and 90170 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 90170

Prime factors of 90170 are 2, 5, 71, 127. Prime factorization of 90170 in exponential form is:

90170 = 2¹ × 5¹ × 71¹ × 127¹

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 90170

List of positive integer factors of 90170 that divides 90162 without a remainder.

1, 2, 5, 10, 71, 127, 142, 254, 355, 635, 710, 1270, 9017, 18034, 45085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90162 and 90170. The biggest common factor number is the GCF number.
So the greatest common factor 90162 and 90170 is 2.

Also check out the Least Common Multiple of 90162 and 90170