What is the Greatest Common Factor of 33148 and 33152?

Greatest common factor (GCF) of 33148 and 33152 is 4.

GCF(33148,33152) = 4

We will now calculate the prime factors of 33148 and 33152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33148 and 33152.

How to find the GCF of 33148 and 33152?

We will first find the prime factorization of 33148 and 33152. After we will calculate the factors of 33148 and 33152 and find the biggest common factor number .

Step-1: Prime Factorization of 33148

Prime factors of 33148 are 2, 8287. Prime factorization of 33148 in exponential form is:

33148 = 2² × 8287¹

Step-2: 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-3: Factors of 33148

List of positive integer factors of 33148 that divides 33148 without a remainder.

1, 2, 4, 8287, 16574

Step-4: Factors of 33152

List of positive integer factors of 33152 that divides 33148 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33148 and 33152. The biggest common factor number is the GCF number.
So the greatest common factor 33148 and 33152 is 4.

Also check out the Least Common Multiple of 33148 and 33152