What is the Greatest Common Factor of 45216 and 45232?

Greatest common factor (GCF) of 45216 and 45232 is 16.

GCF(45216,45232) = 16

We will now calculate the prime factors of 45216 and 45232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45216 and 45232.

How to find the GCF of 45216 and 45232?

We will first find the prime factorization of 45216 and 45232. After we will calculate the factors of 45216 and 45232 and find the biggest common factor number .

Step-1: Prime Factorization of 45216

Prime factors of 45216 are 2, 3, 157. Prime factorization of 45216 in exponential form is:

45216 = 2⁵ × 3² × 157¹

Step-2: Prime Factorization of 45232

Prime factors of 45232 are 2, 11, 257. Prime factorization of 45232 in exponential form is:

45232 = 2⁴ × 11¹ × 257¹

Step-3: Factors of 45216

List of positive integer factors of 45216 that divides 45216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 157, 288, 314, 471, 628, 942, 1256, 1413, 1884, 2512, 2826, 3768, 5024, 5652, 7536, 11304, 15072, 22608

Step-4: Factors of 45232

List of positive integer factors of 45232 that divides 45216 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 257, 514, 1028, 2056, 2827, 4112, 5654, 11308, 22616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45216 and 45232. The biggest common factor number is the GCF number.
So the greatest common factor 45216 and 45232 is 16.

Also check out the Least Common Multiple of 45216 and 45232