What is the Greatest Common Factor of 32940 and 32958?

Greatest common factor (GCF) of 32940 and 32958 is 18.

GCF(32940,32958) = 18

We will now calculate the prime factors of 32940 and 32958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32940 and 32958.

How to find the GCF of 32940 and 32958?

We will first find the prime factorization of 32940 and 32958. After we will calculate the factors of 32940 and 32958 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 32958

Prime factors of 32958 are 2, 3, 1831. Prime factorization of 32958 in exponential form is:

32958 = 2¹ × 3² × 1831¹

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 32958

List of positive integer factors of 32958 that divides 32940 without a remainder.

1, 2, 3, 6, 9, 18, 1831, 3662, 5493, 10986, 16479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32940 and 32958. The biggest common factor number is the GCF number.
So the greatest common factor 32940 and 32958 is 18.

Also check out the Least Common Multiple of 32940 and 32958