What is the Greatest Common Factor of 32924 and 32940?

Greatest common factor (GCF) of 32924 and 32940 is 4.

GCF(32924,32940) = 4

We will now calculate the prime factors of 32924 and 32940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32924 and 32940.

How to find the GCF of 32924 and 32940?

We will first find the prime factorization of 32924 and 32940. After we will calculate the factors of 32924 and 32940 and find the biggest common factor number .

Step-1: Prime Factorization of 32924

Prime factors of 32924 are 2, 8231. Prime factorization of 32924 in exponential form is:

32924 = 2² × 8231¹

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 32924

List of positive integer factors of 32924 that divides 32924 without a remainder.

1, 2, 4, 8231, 16462

Step-4: Factors of 32940

List of positive integer factors of 32940 that divides 32924 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 32924 and 32940. The biggest common factor number is the GCF number.
So the greatest common factor 32924 and 32940 is 4.

Also check out the Least Common Multiple of 32924 and 32940