What is the Greatest Common Factor of 32208 and 32216?

Greatest common factor (GCF) of 32208 and 32216 is 8.

GCF(32208,32216) = 8

We will now calculate the prime factors of 32208 and 32216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32208 and 32216.

How to find the GCF of 32208 and 32216?

We will first find the prime factorization of 32208 and 32216. After we will calculate the factors of 32208 and 32216 and find the biggest common factor number .

Step-1: Prime Factorization of 32208

Prime factors of 32208 are 2, 3, 11, 61. Prime factorization of 32208 in exponential form is:

32208 = 2⁴ × 3¹ × 11¹ × 61¹

Step-2: Prime Factorization of 32216

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

32216 = 2³ × 4027¹

Step-3: Factors of 32208

List of positive integer factors of 32208 that divides 32208 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 61, 66, 88, 122, 132, 176, 183, 244, 264, 366, 488, 528, 671, 732, 976, 1342, 1464, 2013, 2684, 2928, 4026, 5368, 8052, 10736, 16104

Step-4: Factors of 32216

List of positive integer factors of 32216 that divides 32208 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32208 and 32216. The biggest common factor number is the GCF number.
So the greatest common factor 32208 and 32216 is 8.

Also check out the Least Common Multiple of 32208 and 32216