What is the Greatest Common Factor of 90216 and 90230?

Greatest common factor (GCF) of 90216 and 90230 is 14.

GCF(90216,90230) = 14

We will now calculate the prime factors of 90216 and 90230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90216 and 90230.

How to find the GCF of 90216 and 90230?

We will first find the prime factorization of 90216 and 90230. After we will calculate the factors of 90216 and 90230 and find the biggest common factor number .

Step-1: Prime Factorization of 90216

Prime factors of 90216 are 2, 3, 7, 179. Prime factorization of 90216 in exponential form is:

90216 = 2³ × 3² × 7¹ × 179¹

Step-2: Prime Factorization of 90230

Prime factors of 90230 are 2, 5, 7, 1289. Prime factorization of 90230 in exponential form is:

90230 = 2¹ × 5¹ × 7¹ × 1289¹

Step-3: Factors of 90216

List of positive integer factors of 90216 that divides 90216 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 179, 252, 358, 504, 537, 716, 1074, 1253, 1432, 1611, 2148, 2506, 3222, 3759, 4296, 5012, 6444, 7518, 10024, 11277, 12888, 15036, 22554, 30072, 45108

Step-4: Factors of 90230

List of positive integer factors of 90230 that divides 90216 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1289, 2578, 6445, 9023, 12890, 18046, 45115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90216 and 90230. The biggest common factor number is the GCF number.
So the greatest common factor 90216 and 90230 is 14.

Also check out the Least Common Multiple of 90216 and 90230