What is the Greatest Common Factor of 33040 and 33046?

Greatest common factor (GCF) of 33040 and 33046 is 2.

GCF(33040,33046) = 2

We will now calculate the prime factors of 33040 and 33046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33040 and 33046.

How to find the GCF of 33040 and 33046?

We will first find the prime factorization of 33040 and 33046. After we will calculate the factors of 33040 and 33046 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33046

Prime factors of 33046 are 2, 13, 31, 41. Prime factorization of 33046 in exponential form is:

33046 = 2¹ × 13¹ × 31¹ × 41¹

Step-3: Factors of 33040

List of positive integer factors of 33040 that divides 33040 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

Step-4: Factors of 33046

List of positive integer factors of 33046 that divides 33040 without a remainder.

1, 2, 13, 26, 31, 41, 62, 82, 403, 533, 806, 1066, 1271, 2542, 16523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33040 and 33046. The biggest common factor number is the GCF number.
So the greatest common factor 33040 and 33046 is 2.

Also check out the Least Common Multiple of 33040 and 33046