What is the Greatest Common Factor of 32216 and 32228?

Greatest common factor (GCF) of 32216 and 32228 is 4.

GCF(32216,32228) = 4

We will now calculate the prime factors of 32216 and 32228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32216 and 32228.

How to find the GCF of 32216 and 32228?

We will first find the prime factorization of 32216 and 32228. After we will calculate the factors of 32216 and 32228 and find the biggest common factor number .

Step-1: Prime Factorization of 32216

Prime factors of 32216 are 2, 4027. Prime factorization of 32216 in exponential form is:

32216 = 2³ × 4027¹

Step-2: Prime Factorization of 32228

Prime factors of 32228 are 2, 7, 1151. Prime factorization of 32228 in exponential form is:

32228 = 2² × 7¹ × 1151¹

Step-3: Factors of 32216

List of positive integer factors of 32216 that divides 32216 without a remainder.

1, 2, 4, 8, 4027, 8054, 16108

Step-4: Factors of 32228

List of positive integer factors of 32228 that divides 32216 without a remainder.

1, 2, 4, 7, 14, 28, 1151, 2302, 4604, 8057, 16114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32216 and 32228. The biggest common factor number is the GCF number.
So the greatest common factor 32216 and 32228 is 4.

Also check out the Least Common Multiple of 32216 and 32228