What is the Greatest Common Factor of 45216 and 45229?

Greatest common factor (GCF) of 45216 and 45229 is 1.

GCF(45216,45229) = 1

We will now calculate the prime factors of 45216 and 45229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45216 and 45229.

How to find the GCF of 45216 and 45229?

We will first find the prime factorization of 45216 and 45229. After we will calculate the factors of 45216 and 45229 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 45229

Prime factors of 45229 are 31, 1459. Prime factorization of 45229 in exponential form is:

45229 = 31¹ × 1459¹

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 45229

List of positive integer factors of 45229 that divides 45216 without a remainder.

1, 31, 1459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45216 and 45229. The biggest common factor number is the GCF number.
So the greatest common factor 45216 and 45229 is 1.

Also check out the Least Common Multiple of 45216 and 45229