What is the Greatest Common Factor of 32355 and 32370?

Greatest common factor (GCF) of 32355 and 32370 is 15.

GCF(32355,32370) = 15

We will now calculate the prime factors of 32355 and 32370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32355 and 32370.

How to find the GCF of 32355 and 32370?

We will first find the prime factorization of 32355 and 32370. After we will calculate the factors of 32355 and 32370 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 32370

Prime factors of 32370 are 2, 3, 5, 13, 83. Prime factorization of 32370 in exponential form is:

32370 = 2¹ × 3¹ × 5¹ × 13¹ × 83¹

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 32370

List of positive integer factors of 32370 that divides 32355 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 83, 130, 166, 195, 249, 390, 415, 498, 830, 1079, 1245, 2158, 2490, 3237, 5395, 6474, 10790, 16185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32355 and 32370. The biggest common factor number is the GCF number.
So the greatest common factor 32355 and 32370 is 15.

Also check out the Least Common Multiple of 32355 and 32370