What is the Greatest Common Factor of 33508 and 33512?

Greatest common factor (GCF) of 33508 and 33512 is 4.

GCF(33508,33512) = 4

We will now calculate the prime factors of 33508 and 33512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33508 and 33512.

How to find the GCF of 33508 and 33512?

We will first find the prime factorization of 33508 and 33512. After we will calculate the factors of 33508 and 33512 and find the biggest common factor number .

Step-1: Prime Factorization of 33508

Prime factors of 33508 are 2, 8377. Prime factorization of 33508 in exponential form is:

33508 = 2² × 8377¹

Step-2: Prime Factorization of 33512

Prime factors of 33512 are 2, 59, 71. Prime factorization of 33512 in exponential form is:

33512 = 2³ × 59¹ × 71¹

Step-3: Factors of 33508

List of positive integer factors of 33508 that divides 33508 without a remainder.

1, 2, 4, 8377, 16754

Step-4: Factors of 33512

List of positive integer factors of 33512 that divides 33508 without a remainder.

1, 2, 4, 8, 59, 71, 118, 142, 236, 284, 472, 568, 4189, 8378, 16756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33508 and 33512. The biggest common factor number is the GCF number.
So the greatest common factor 33508 and 33512 is 4.

Also check out the Least Common Multiple of 33508 and 33512