What is the Greatest Common Factor of 33488 and 33502?

Greatest common factor (GCF) of 33488 and 33502 is 14.

GCF(33488,33502) = 14

We will now calculate the prime factors of 33488 and 33502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33488 and 33502.

How to find the GCF of 33488 and 33502?

We will first find the prime factorization of 33488 and 33502. After we will calculate the factors of 33488 and 33502 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 33502

Prime factors of 33502 are 2, 7, 2393. Prime factorization of 33502 in exponential form is:

33502 = 2¹ × 7¹ × 2393¹

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 33502

List of positive integer factors of 33502 that divides 33488 without a remainder.

1, 2, 7, 14, 2393, 4786, 16751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33488 and 33502. The biggest common factor number is the GCF number.
So the greatest common factor 33488 and 33502 is 14.

Also check out the Least Common Multiple of 33488 and 33502