What is the Greatest Common Factor of 33474 and 33488?

Greatest common factor (GCF) of 33474 and 33488 is 14.

GCF(33474,33488) = 14

We will now calculate the prime factors of 33474 and 33488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33474 and 33488.

How to find the GCF of 33474 and 33488?

We will first find the prime factorization of 33474 and 33488. After we will calculate the factors of 33474 and 33488 and find the biggest common factor number .

Step-1: Prime Factorization of 33474

Prime factors of 33474 are 2, 3, 7, 797. Prime factorization of 33474 in exponential form is:

33474 = 2¹ × 3¹ × 7¹ × 797¹

Step-2: Prime Factorization of 33488

Prime factors of 33488 are 2, 7, 13, 23. Prime factorization of 33488 in exponential form is:

33488 = 2⁴ × 7¹ × 13¹ × 23¹

Step-3: Factors of 33474

List of positive integer factors of 33474 that divides 33474 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 797, 1594, 2391, 4782, 5579, 11158, 16737

Step-4: Factors of 33488

List of positive integer factors of 33488 that divides 33474 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 23, 26, 28, 46, 52, 56, 91, 92, 104, 112, 161, 182, 184, 208, 299, 322, 364, 368, 598, 644, 728, 1196, 1288, 1456, 2093, 2392, 2576, 4186, 4784, 8372, 16744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33474 and 33488. The biggest common factor number is the GCF number.
So the greatest common factor 33474 and 33488 is 14.

Also check out the Least Common Multiple of 33474 and 33488