What is the Greatest Common Factor of 90216 and 90223?

Greatest common factor (GCF) of 90216 and 90223 is 7.

GCF(90216,90223) = 7

We will now calculate the prime factors of 90216 and 90223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90216 and 90223.

How to find the GCF of 90216 and 90223?

We will first find the prime factorization of 90216 and 90223. After we will calculate the factors of 90216 and 90223 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 90223

Prime factors of 90223 are 7, 12889. Prime factorization of 90223 in exponential form is:

90223 = 7¹ × 12889¹

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 90223

List of positive integer factors of 90223 that divides 90216 without a remainder.

1, 7, 12889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90216 and 90223. The biggest common factor number is the GCF number.
So the greatest common factor 90216 and 90223 is 7.

Also check out the Least Common Multiple of 90216 and 90223