What is the Greatest Common Factor of 88224 and 88232?

Greatest common factor (GCF) of 88224 and 88232 is 8.

GCF(88224,88232) = 8

We will now calculate the prime factors of 88224 and 88232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88224 and 88232.

How to find the GCF of 88224 and 88232?

We will first find the prime factorization of 88224 and 88232. After we will calculate the factors of 88224 and 88232 and find the biggest common factor number .

Step-1: Prime Factorization of 88224

Prime factors of 88224 are 2, 3, 919. Prime factorization of 88224 in exponential form is:

88224 = 2⁵ × 3¹ × 919¹

Step-2: Prime Factorization of 88232

Prime factors of 88232 are 2, 41, 269. Prime factorization of 88232 in exponential form is:

88232 = 2³ × 41¹ × 269¹

Step-3: Factors of 88224

List of positive integer factors of 88224 that divides 88224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 919, 1838, 2757, 3676, 5514, 7352, 11028, 14704, 22056, 29408, 44112

Step-4: Factors of 88232

List of positive integer factors of 88232 that divides 88224 without a remainder.

1, 2, 4, 8, 41, 82, 164, 269, 328, 538, 1076, 2152, 11029, 22058, 44116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88224 and 88232. The biggest common factor number is the GCF number.
So the greatest common factor 88224 and 88232 is 8.

Also check out the Least Common Multiple of 88224 and 88232