What is the Greatest Common Factor of 32925 and 32940?

Greatest common factor (GCF) of 32925 and 32940 is 15.

GCF(32925,32940) = 15

We will now calculate the prime factors of 32925 and 32940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32925 and 32940.

How to find the GCF of 32925 and 32940?

We will first find the prime factorization of 32925 and 32940. After we will calculate the factors of 32925 and 32940 and find the biggest common factor number .

Step-1: Prime Factorization of 32925

Prime factors of 32925 are 3, 5, 439. Prime factorization of 32925 in exponential form is:

32925 = 3¹ × 5² × 439¹

Step-2: Prime Factorization of 32940

Prime factors of 32940 are 2, 3, 5, 61. Prime factorization of 32940 in exponential form is:

32940 = 2² × 3³ × 5¹ × 61¹

Step-3: Factors of 32925

List of positive integer factors of 32925 that divides 32925 without a remainder.

1, 3, 5, 15, 25, 75, 439, 1317, 2195, 6585, 10975

Step-4: Factors of 32940

List of positive integer factors of 32940 that divides 32925 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 61, 90, 108, 122, 135, 180, 183, 244, 270, 305, 366, 540, 549, 610, 732, 915, 1098, 1220, 1647, 1830, 2196, 2745, 3294, 3660, 5490, 6588, 8235, 10980, 16470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32925 and 32940. The biggest common factor number is the GCF number.
So the greatest common factor 32925 and 32940 is 15.

Also check out the Least Common Multiple of 32925 and 32940