What is the Greatest Common Factor of 33488 and 33497?

Greatest common factor (GCF) of 33488 and 33497 is 1.

GCF(33488,33497) = 1

We will now calculate the prime factors of 33488 and 33497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33488 and 33497.

How to find the GCF of 33488 and 33497?

We will first find the prime factorization of 33488 and 33497. After we will calculate the factors of 33488 and 33497 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33497

Prime factors of 33497 are 19, 41, 43. Prime factorization of 33497 in exponential form is:

33497 = 19¹ × 41¹ × 43¹

Step-3: Factors of 33488

List of positive integer factors of 33488 that divides 33488 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

Step-4: Factors of 33497

List of positive integer factors of 33497 that divides 33488 without a remainder.

1, 19, 41, 43, 779, 817, 1763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33488 and 33497. The biggest common factor number is the GCF number.
So the greatest common factor 33488 and 33497 is 1.

Also check out the Least Common Multiple of 33488 and 33497