What is the Greatest Common Factor of 33488 and 33492?

Greatest common factor (GCF) of 33488 and 33492 is 4.

GCF(33488,33492) = 4

We will now calculate the prime factors of 33488 and 33492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33488 and 33492.

How to find the GCF of 33488 and 33492?

We will first find the prime factorization of 33488 and 33492. After we will calculate the factors of 33488 and 33492 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 33492

Prime factors of 33492 are 2, 3, 2791. Prime factorization of 33492 in exponential form is:

33492 = 2² × 3¹ × 2791¹

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 33492

List of positive integer factors of 33492 that divides 33488 without a remainder.

1, 2, 3, 4, 6, 12, 2791, 5582, 8373, 11164, 16746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33488 and 33492. The biggest common factor number is the GCF number.
So the greatest common factor 33488 and 33492 is 4.

Also check out the Least Common Multiple of 33488 and 33492