What is the Greatest Common Factor of 32272 and 32288?

Greatest common factor (GCF) of 32272 and 32288 is 16.

GCF(32272,32288) = 16

We will now calculate the prime factors of 32272 and 32288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32272 and 32288.

How to find the GCF of 32272 and 32288?

We will first find the prime factorization of 32272 and 32288. After we will calculate the factors of 32272 and 32288 and find the biggest common factor number .

Step-1: Prime Factorization of 32272

Prime factors of 32272 are 2, 2017. Prime factorization of 32272 in exponential form is:

32272 = 2⁴ × 2017¹

Step-2: Prime Factorization of 32288

Prime factors of 32288 are 2, 1009. Prime factorization of 32288 in exponential form is:

32288 = 2⁵ × 1009¹

Step-3: Factors of 32272

List of positive integer factors of 32272 that divides 32272 without a remainder.

1, 2, 4, 8, 16, 2017, 4034, 8068, 16136

Step-4: Factors of 32288

List of positive integer factors of 32288 that divides 32272 without a remainder.

1, 2, 4, 8, 16, 32, 1009, 2018, 4036, 8072, 16144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32272 and 32288. The biggest common factor number is the GCF number.
So the greatest common factor 32272 and 32288 is 16.

Also check out the Least Common Multiple of 32272 and 32288