What is the Greatest Common Factor of 32274 and 32291?

Greatest common factor (GCF) of 32274 and 32291 is 1.

GCF(32274,32291) = 1

We will now calculate the prime factors of 32274 and 32291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32274 and 32291.

How to find the GCF of 32274 and 32291?

We will first find the prime factorization of 32274 and 32291. After we will calculate the factors of 32274 and 32291 and find the biggest common factor number .

Step-1: Prime Factorization of 32274

Prime factors of 32274 are 2, 3, 11, 163. Prime factorization of 32274 in exponential form is:

32274 = 2¹ × 3² × 11¹ × 163¹

Step-2: Prime Factorization of 32291

Prime factors of 32291 are 7, 659. Prime factorization of 32291 in exponential form is:

32291 = 7² × 659¹

Step-3: Factors of 32274

List of positive integer factors of 32274 that divides 32274 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 163, 198, 326, 489, 978, 1467, 1793, 2934, 3586, 5379, 10758, 16137

Step-4: Factors of 32291

List of positive integer factors of 32291 that divides 32274 without a remainder.

1, 7, 49, 659, 4613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32274 and 32291. The biggest common factor number is the GCF number.
So the greatest common factor 32274 and 32291 is 1.

Also check out the Least Common Multiple of 32274 and 32291