What is the Greatest Common Factor of 33033 and 33040?

Greatest common factor (GCF) of 33033 and 33040 is 7.

GCF(33033,33040) = 7

We will now calculate the prime factors of 33033 and 33040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33033 and 33040.

How to find the GCF of 33033 and 33040?

We will first find the prime factorization of 33033 and 33040. After we will calculate the factors of 33033 and 33040 and find the biggest common factor number .

Step-1: Prime Factorization of 33033

Prime factors of 33033 are 3, 7, 11, 13. Prime factorization of 33033 in exponential form is:

33033 = 3¹ × 7¹ × 11² × 13¹

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 33033

List of positive integer factors of 33033 that divides 33033 without a remainder.

1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 121, 143, 231, 273, 363, 429, 847, 1001, 1573, 2541, 3003, 4719, 11011

Step-4: Factors of 33040

List of positive integer factors of 33040 that divides 33033 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 33033 and 33040. The biggest common factor number is the GCF number.
So the greatest common factor 33033 and 33040 is 7.

Also check out the Least Common Multiple of 33033 and 33040