What is the Greatest Common Factor of 32262 and 32281?

Greatest common factor (GCF) of 32262 and 32281 is 19.

GCF(32262,32281) = 19

We will now calculate the prime factors of 32262 and 32281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32262 and 32281.

How to find the GCF of 32262 and 32281?

We will first find the prime factorization of 32262 and 32281. After we will calculate the factors of 32262 and 32281 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32281

Prime factors of 32281 are 19, 1699. Prime factorization of 32281 in exponential form is:

32281 = 19¹ × 1699¹

Step-3: Factors of 32262

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

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

Step-4: Factors of 32281

List of positive integer factors of 32281 that divides 32262 without a remainder.

1, 19, 1699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32262 and 32281. The biggest common factor number is the GCF number.
So the greatest common factor 32262 and 32281 is 19.

Also check out the Least Common Multiple of 32262 and 32281