What is the Greatest Common Factor of 33014 and 33024?

Greatest common factor (GCF) of 33014 and 33024 is 2.

GCF(33014,33024) = 2

We will now calculate the prime factors of 33014 and 33024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33014 and 33024.

How to find the GCF of 33014 and 33024?

We will first find the prime factorization of 33014 and 33024. After we will calculate the factors of 33014 and 33024 and find the biggest common factor number .

Step-1: Prime Factorization of 33014

Prime factors of 33014 are 2, 17, 971. Prime factorization of 33014 in exponential form is:

33014 = 2¹ × 17¹ × 971¹

Step-2: Prime Factorization of 33024

Prime factors of 33024 are 2, 3, 43. Prime factorization of 33024 in exponential form is:

33024 = 2⁸ × 3¹ × 43¹

Step-3: Factors of 33014

List of positive integer factors of 33014 that divides 33014 without a remainder.

1, 2, 17, 34, 971, 1942, 16507

Step-4: Factors of 33024

List of positive integer factors of 33024 that divides 33014 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 128, 129, 172, 192, 256, 258, 344, 384, 516, 688, 768, 1032, 1376, 2064, 2752, 4128, 5504, 8256, 11008, 16512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33014 and 33024. The biggest common factor number is the GCF number.
So the greatest common factor 33014 and 33024 is 2.

Also check out the Least Common Multiple of 33014 and 33024