What is the Greatest Common Factor of 33040 and 33054?

Greatest common factor (GCF) of 33040 and 33054 is 14.

GCF(33040,33054) = 14

We will now calculate the prime factors of 33040 and 33054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33040 and 33054.

How to find the GCF of 33040 and 33054?

We will first find the prime factorization of 33040 and 33054. After we will calculate the factors of 33040 and 33054 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 33054

Prime factors of 33054 are 2, 3, 7, 787. Prime factorization of 33054 in exponential form is:

33054 = 2¹ × 3¹ × 7¹ × 787¹

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 33054

List of positive integer factors of 33054 that divides 33040 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 787, 1574, 2361, 4722, 5509, 11018, 16527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33040 and 33054. The biggest common factor number is the GCF number.
So the greatest common factor 33040 and 33054 is 14.

Also check out the Least Common Multiple of 33040 and 33054