What is the Greatest Common Factor of 33028 and 33040?

Greatest common factor (GCF) of 33028 and 33040 is 4.

GCF(33028,33040) = 4

We will now calculate the prime factors of 33028 and 33040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33028 and 33040.

How to find the GCF of 33028 and 33040?

We will first find the prime factorization of 33028 and 33040. After we will calculate the factors of 33028 and 33040 and find the biggest common factor number .

Step-1: Prime Factorization of 33028

Prime factors of 33028 are 2, 23, 359. Prime factorization of 33028 in exponential form is:

33028 = 2² × 23¹ × 359¹

Step-2: Prime Factorization of 33040

Prime factors of 33040 are 2, 5, 7, 59. Prime factorization of 33040 in exponential form is:

33040 = 2⁴ × 5¹ × 7¹ × 59¹

Step-3: Factors of 33028

List of positive integer factors of 33028 that divides 33028 without a remainder.

1, 2, 4, 23, 46, 92, 359, 718, 1436, 8257, 16514

Step-4: Factors of 33040

List of positive integer factors of 33040 that divides 33028 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 59, 70, 80, 112, 118, 140, 236, 280, 295, 413, 472, 560, 590, 826, 944, 1180, 1652, 2065, 2360, 3304, 4130, 4720, 6608, 8260, 16520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33028 and 33040. The biggest common factor number is the GCF number.
So the greatest common factor 33028 and 33040 is 4.

Also check out the Least Common Multiple of 33028 and 33040