What is the Greatest Common Factor of 32340 and 32357?

Greatest common factor (GCF) of 32340 and 32357 is 1.

GCF(32340,32357) = 1

We will now calculate the prime factors of 32340 and 32357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32340 and 32357.

How to find the GCF of 32340 and 32357?

We will first find the prime factorization of 32340 and 32357. After we will calculate the factors of 32340 and 32357 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 32357

Prime factors of 32357 are 13, 19, 131. Prime factorization of 32357 in exponential form is:

32357 = 13¹ × 19¹ × 131¹

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 32357

List of positive integer factors of 32357 that divides 32340 without a remainder.

1, 13, 19, 131, 247, 1703, 2489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32340 and 32357. The biggest common factor number is the GCF number.
So the greatest common factor 32340 and 32357 is 1.

Also check out the Least Common Multiple of 32340 and 32357