What is the Greatest Common Factor of 32355 and 32361?

Greatest common factor (GCF) of 32355 and 32361 is 3.

GCF(32355,32361) = 3

We will now calculate the prime factors of 32355 and 32361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32355 and 32361.

How to find the GCF of 32355 and 32361?

We will first find the prime factorization of 32355 and 32361. After we will calculate the factors of 32355 and 32361 and find the biggest common factor number .

Step-1: Prime Factorization of 32355

Prime factors of 32355 are 3, 5, 719. Prime factorization of 32355 in exponential form is:

32355 = 3² × 5¹ × 719¹

Step-2: Prime Factorization of 32361

Prime factors of 32361 are 3, 7, 23, 67. Prime factorization of 32361 in exponential form is:

32361 = 3¹ × 7¹ × 23¹ × 67¹

Step-3: Factors of 32355

List of positive integer factors of 32355 that divides 32355 without a remainder.

1, 3, 5, 9, 15, 45, 719, 2157, 3595, 6471, 10785

Step-4: Factors of 32361

List of positive integer factors of 32361 that divides 32355 without a remainder.

1, 3, 7, 21, 23, 67, 69, 161, 201, 469, 483, 1407, 1541, 4623, 10787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32355 and 32361. The biggest common factor number is the GCF number.
So the greatest common factor 32355 and 32361 is 3.

Also check out the Least Common Multiple of 32355 and 32361