What is the Greatest Common Factor of 33152 and 33168?

Greatest common factor (GCF) of 33152 and 33168 is 16.

GCF(33152,33168) = 16

We will now calculate the prime factors of 33152 and 33168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33152 and 33168.

How to find the GCF of 33152 and 33168?

We will first find the prime factorization of 33152 and 33168. After we will calculate the factors of 33152 and 33168 and find the biggest common factor number .

Step-1: Prime Factorization of 33152

Prime factors of 33152 are 2, 7, 37. Prime factorization of 33152 in exponential form is:

33152 = 2⁷ × 7¹ × 37¹

Step-2: 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-3: Factors of 33152

List of positive integer factors of 33152 that divides 33152 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 64, 74, 112, 128, 148, 224, 259, 296, 448, 518, 592, 896, 1036, 1184, 2072, 2368, 4144, 4736, 8288, 16576

Step-4: Factors of 33168

List of positive integer factors of 33168 that divides 33152 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33152 and 33168. The biggest common factor number is the GCF number.
So the greatest common factor 33152 and 33168 is 16.

Also check out the Least Common Multiple of 33152 and 33168