What is the Greatest Common Factor of 32340 and 32358?

Greatest common factor (GCF) of 32340 and 32358 is 6.

GCF(32340,32358) = 6

We will now calculate the prime factors of 32340 and 32358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32340 and 32358.

How to find the GCF of 32340 and 32358?

We will first find the prime factorization of 32340 and 32358. After we will calculate the factors of 32340 and 32358 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 32358

Prime factors of 32358 are 2, 3, 5393. Prime factorization of 32358 in exponential form is:

32358 = 2¹ × 3¹ × 5393¹

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 32358

List of positive integer factors of 32358 that divides 32340 without a remainder.

1, 2, 3, 6, 5393, 10786, 16179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32340 and 32358. The biggest common factor number is the GCF number.
So the greatest common factor 32340 and 32358 is 6.

Also check out the Least Common Multiple of 32340 and 32358