What is the Greatest Common Factor of 32340 and 32351?

Greatest common factor (GCF) of 32340 and 32351 is 11.

GCF(32340,32351) = 11

We will now calculate the prime factors of 32340 and 32351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32340 and 32351.

How to find the GCF of 32340 and 32351?

We will first find the prime factorization of 32340 and 32351. After we will calculate the factors of 32340 and 32351 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 32351

Prime factors of 32351 are 11, 17, 173. Prime factorization of 32351 in exponential form is:

32351 = 11¹ × 17¹ × 173¹

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 32351

List of positive integer factors of 32351 that divides 32340 without a remainder.

1, 11, 17, 173, 187, 1903, 2941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32340 and 32351. The biggest common factor number is the GCF number.
So the greatest common factor 32340 and 32351 is 11.

Also check out the Least Common Multiple of 32340 and 32351