What is the Greatest Common Factor of 32940 and 32955?

Greatest common factor (GCF) of 32940 and 32955 is 15.

GCF(32940,32955) = 15

We will now calculate the prime factors of 32940 and 32955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32940 and 32955.

How to find the GCF of 32940 and 32955?

We will first find the prime factorization of 32940 and 32955. After we will calculate the factors of 32940 and 32955 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32955

Prime factors of 32955 are 3, 5, 13. Prime factorization of 32955 in exponential form is:

32955 = 3¹ × 5¹ × 13³

Step-3: Factors of 32940

List of positive integer factors of 32940 that divides 32940 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

Step-4: Factors of 32955

List of positive integer factors of 32955 that divides 32940 without a remainder.

1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2197, 2535, 6591, 10985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32940 and 32955. The biggest common factor number is the GCF number.
So the greatest common factor 32940 and 32955 is 15.

Also check out the Least Common Multiple of 32940 and 32955