What is the Greatest Common Factor of 32214 and 32227?

Greatest common factor (GCF) of 32214 and 32227 is 13.

GCF(32214,32227) = 13

We will now calculate the prime factors of 32214 and 32227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32214 and 32227.

How to find the GCF of 32214 and 32227?

We will first find the prime factorization of 32214 and 32227. After we will calculate the factors of 32214 and 32227 and find the biggest common factor number .

Step-1: Prime Factorization of 32214

Prime factors of 32214 are 2, 3, 7, 13, 59. Prime factorization of 32214 in exponential form is:

32214 = 2¹ × 3¹ × 7¹ × 13¹ × 59¹

Step-2: Prime Factorization of 32227

Prime factors of 32227 are 13, 37, 67. Prime factorization of 32227 in exponential form is:

32227 = 13¹ × 37¹ × 67¹

Step-3: Factors of 32214

List of positive integer factors of 32214 that divides 32214 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 59, 78, 91, 118, 177, 182, 273, 354, 413, 546, 767, 826, 1239, 1534, 2301, 2478, 4602, 5369, 10738, 16107

Step-4: Factors of 32227

List of positive integer factors of 32227 that divides 32214 without a remainder.

1, 13, 37, 67, 481, 871, 2479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32214 and 32227. The biggest common factor number is the GCF number.
So the greatest common factor 32214 and 32227 is 13.

Also check out the Least Common Multiple of 32214 and 32227