What is the Greatest Common Factor of 33168 and 33176?

Greatest common factor (GCF) of 33168 and 33176 is 8.

GCF(33168,33176) = 8

We will now calculate the prime factors of 33168 and 33176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33168 and 33176.

How to find the GCF of 33168 and 33176?

We will first find the prime factorization of 33168 and 33176. After we will calculate the factors of 33168 and 33176 and find the biggest common factor number .

Step-1: Prime Factorization of 33168

Prime factors of 33168 are 2, 3, 691. Prime factorization of 33168 in exponential form is:

33168 = 2⁴ × 3¹ × 691¹

Step-2: Prime Factorization of 33176

Prime factors of 33176 are 2, 11, 13, 29. Prime factorization of 33176 in exponential form is:

33176 = 2³ × 11¹ × 13¹ × 29¹

Step-3: Factors of 33168

List of positive integer factors of 33168 that divides 33168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 691, 1382, 2073, 2764, 4146, 5528, 8292, 11056, 16584

Step-4: Factors of 33176

List of positive integer factors of 33176 that divides 33168 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 29, 44, 52, 58, 88, 104, 116, 143, 232, 286, 319, 377, 572, 638, 754, 1144, 1276, 1508, 2552, 3016, 4147, 8294, 16588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33168 and 33176. The biggest common factor number is the GCF number.
So the greatest common factor 33168 and 33176 is 8.

Also check out the Least Common Multiple of 33168 and 33176