What is the Greatest Common Factor of 32243 and 32262?

Greatest common factor (GCF) of 32243 and 32262 is 19.

GCF(32243,32262) = 19

We will now calculate the prime factors of 32243 and 32262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32243 and 32262.

How to find the GCF of 32243 and 32262?

We will first find the prime factorization of 32243 and 32262. After we will calculate the factors of 32243 and 32262 and find the biggest common factor number .

Step-1: Prime Factorization of 32243

Prime factors of 32243 are 19, 1697. Prime factorization of 32243 in exponential form is:

32243 = 19¹ × 1697¹

Step-2: Prime Factorization of 32262

Prime factors of 32262 are 2, 3, 19, 283. Prime factorization of 32262 in exponential form is:

32262 = 2¹ × 3¹ × 19¹ × 283¹

Step-3: Factors of 32243

List of positive integer factors of 32243 that divides 32243 without a remainder.

1, 19, 1697

Step-4: Factors of 32262

List of positive integer factors of 32262 that divides 32243 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 283, 566, 849, 1698, 5377, 10754, 16131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32243 and 32262. The biggest common factor number is the GCF number.
So the greatest common factor 32243 and 32262 is 19.

Also check out the Least Common Multiple of 32243 and 32262