What is the Greatest Common Factor of 32940 and 32945?

Greatest common factor (GCF) of 32940 and 32945 is 5.

GCF(32940,32945) = 5

We will now calculate the prime factors of 32940 and 32945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32940 and 32945.

How to find the GCF of 32940 and 32945?

We will first find the prime factorization of 32940 and 32945. After we will calculate the factors of 32940 and 32945 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 32945

Prime factors of 32945 are 5, 11, 599. Prime factorization of 32945 in exponential form is:

32945 = 5¹ × 11¹ × 599¹

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 32945

List of positive integer factors of 32945 that divides 32940 without a remainder.

1, 5, 11, 55, 599, 2995, 6589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32940 and 32945. The biggest common factor number is the GCF number.
So the greatest common factor 32940 and 32945 is 5.

Also check out the Least Common Multiple of 32940 and 32945