What is the Greatest Common Factor of 32940 and 32950?

Greatest common factor (GCF) of 32940 and 32950 is 10.

GCF(32940,32950) = 10

We will now calculate the prime factors of 32940 and 32950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32940 and 32950.

How to find the GCF of 32940 and 32950?

We will first find the prime factorization of 32940 and 32950. After we will calculate the factors of 32940 and 32950 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 32950

Prime factors of 32950 are 2, 5, 659. Prime factorization of 32950 in exponential form is:

32950 = 2¹ × 5² × 659¹

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 32950

List of positive integer factors of 32950 that divides 32940 without a remainder.

1, 2, 5, 10, 25, 50, 659, 1318, 3295, 6590, 16475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32940 and 32950. The biggest common factor number is the GCF number.
So the greatest common factor 32940 and 32950 is 10.

Also check out the Least Common Multiple of 32940 and 32950