What is the Greatest Common Factor of 32262 and 32271?

Greatest common factor (GCF) of 32262 and 32271 is 3.

GCF(32262,32271) = 3

We will now calculate the prime factors of 32262 and 32271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32262 and 32271.

How to find the GCF of 32262 and 32271?

We will first find the prime factorization of 32262 and 32271. After we will calculate the factors of 32262 and 32271 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 32271

Prime factors of 32271 are 3, 31, 347. Prime factorization of 32271 in exponential form is:

32271 = 3¹ × 31¹ × 347¹

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 32271

List of positive integer factors of 32271 that divides 32262 without a remainder.

1, 3, 31, 93, 347, 1041, 10757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32262 and 32271. The biggest common factor number is the GCF number.
So the greatest common factor 32262 and 32271 is 3.

Also check out the Least Common Multiple of 32262 and 32271