What is the Greatest Common Factor of 33040 and 33057?

Greatest common factor (GCF) of 33040 and 33057 is 1.

GCF(33040,33057) = 1

We will now calculate the prime factors of 33040 and 33057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33040 and 33057.

How to find the GCF of 33040 and 33057?

We will first find the prime factorization of 33040 and 33057. After we will calculate the factors of 33040 and 33057 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 33057

Prime factors of 33057 are 3, 3673. Prime factorization of 33057 in exponential form is:

33057 = 3² × 3673¹

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 33057

List of positive integer factors of 33057 that divides 33040 without a remainder.

1, 3, 9, 3673, 11019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33040 and 33057. The biggest common factor number is the GCF number.
So the greatest common factor 33040 and 33057 is 1.

Also check out the Least Common Multiple of 33040 and 33057