What is the Greatest Common Factor of 33470 and 33488?

Greatest common factor (GCF) of 33470 and 33488 is 2.

GCF(33470,33488) = 2

We will now calculate the prime factors of 33470 and 33488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33470 and 33488.

How to find the GCF of 33470 and 33488?

We will first find the prime factorization of 33470 and 33488. After we will calculate the factors of 33470 and 33488 and find the biggest common factor number .

Step-1: Prime Factorization of 33470

Prime factors of 33470 are 2, 5, 3347. Prime factorization of 33470 in exponential form is:

33470 = 2¹ × 5¹ × 3347¹

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 33470

List of positive integer factors of 33470 that divides 33470 without a remainder.

1, 2, 5, 10, 3347, 6694, 16735

Step-4: Factors of 33488

List of positive integer factors of 33488 that divides 33470 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 33470 and 33488. The biggest common factor number is the GCF number.
So the greatest common factor 33470 and 33488 is 2.

Also check out the Least Common Multiple of 33470 and 33488