What is the Greatest Common Factor of 90216 and 90224?

Greatest common factor (GCF) of 90216 and 90224 is 8.

GCF(90216,90224) = 8

We will now calculate the prime factors of 90216 and 90224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90216 and 90224.

How to find the GCF of 90216 and 90224?

We will first find the prime factorization of 90216 and 90224. After we will calculate the factors of 90216 and 90224 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 90224

Prime factors of 90224 are 2, 5639. Prime factorization of 90224 in exponential form is:

90224 = 2⁴ × 5639¹

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 90224

List of positive integer factors of 90224 that divides 90216 without a remainder.

1, 2, 4, 8, 16, 5639, 11278, 22556, 45112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90216 and 90224. The biggest common factor number is the GCF number.
So the greatest common factor 90216 and 90224 is 8.

Also check out the Least Common Multiple of 90216 and 90224