What is the Greatest Common Factor of 32208 and 32219?

Greatest common factor (GCF) of 32208 and 32219 is 11.

GCF(32208,32219) = 11

We will now calculate the prime factors of 32208 and 32219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32208 and 32219.

How to find the GCF of 32208 and 32219?

We will first find the prime factorization of 32208 and 32219. After we will calculate the factors of 32208 and 32219 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 32219

Prime factors of 32219 are 11, 29, 101. Prime factorization of 32219 in exponential form is:

32219 = 11¹ × 29¹ × 101¹

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 32219

List of positive integer factors of 32219 that divides 32208 without a remainder.

1, 11, 29, 101, 319, 1111, 2929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32208 and 32219. The biggest common factor number is the GCF number.
So the greatest common factor 32208 and 32219 is 11.

Also check out the Least Common Multiple of 32208 and 32219