What is the Greatest Common Factor of 32340 and 32353?

Greatest common factor (GCF) of 32340 and 32353 is 1.

GCF(32340,32353) = 1

We will now calculate the prime factors of 32340 and 32353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32340 and 32353.

How to find the GCF of 32340 and 32353?

We will first find the prime factorization of 32340 and 32353. After we will calculate the factors of 32340 and 32353 and find the biggest common factor number .

Step-1: Prime Factorization of 32340

Prime factors of 32340 are 2, 3, 5, 7, 11. Prime factorization of 32340 in exponential form is:

32340 = 2² × 3¹ × 5¹ × 7² × 11¹

Step-2: Prime Factorization of 32353

Prime factors of 32353 are 32353. Prime factorization of 32353 in exponential form is:

32353 = 32353¹

Step-3: Factors of 32340

List of positive integer factors of 32340 that divides 32340 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 49, 55, 60, 66, 70, 77, 84, 98, 105, 110, 132, 140, 147, 154, 165, 196, 210, 220, 231, 245, 294, 308, 330, 385, 420, 462, 490, 539, 588, 660, 735, 770, 924, 980, 1078, 1155, 1470, 1540, 1617, 2156, 2310, 2695, 2940, 3234, 4620, 5390, 6468, 8085, 10780, 16170

Step-4: Factors of 32353

List of positive integer factors of 32353 that divides 32340 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32340 and 32353. The biggest common factor number is the GCF number.
So the greatest common factor 32340 and 32353 is 1.

Also check out the Least Common Multiple of 32340 and 32353