What is the Greatest Common Factor of 32224 and 32234?

Greatest common factor (GCF) of 32224 and 32234 is 2.

GCF(32224,32234) = 2

We will now calculate the prime factors of 32224 and 32234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32224 and 32234.

How to find the GCF of 32224 and 32234?

We will first find the prime factorization of 32224 and 32234. After we will calculate the factors of 32224 and 32234 and find the biggest common factor number .

Step-1: Prime Factorization of 32224

Prime factors of 32224 are 2, 19, 53. Prime factorization of 32224 in exponential form is:

32224 = 2⁵ × 19¹ × 53¹

Step-2: Prime Factorization of 32234

Prime factors of 32234 are 2, 71, 227. Prime factorization of 32234 in exponential form is:

32234 = 2¹ × 71¹ × 227¹

Step-3: Factors of 32224

List of positive integer factors of 32224 that divides 32224 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 53, 76, 106, 152, 212, 304, 424, 608, 848, 1007, 1696, 2014, 4028, 8056, 16112

Step-4: Factors of 32234

List of positive integer factors of 32234 that divides 32224 without a remainder.

1, 2, 71, 142, 227, 454, 16117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32224 and 32234. The biggest common factor number is the GCF number.
So the greatest common factor 32224 and 32234 is 2.

Also check out the Least Common Multiple of 32224 and 32234