What is the Greatest Common Factor of 33512 and 33518?

Greatest common factor (GCF) of 33512 and 33518 is 2.

GCF(33512,33518) = 2

We will now calculate the prime factors of 33512 and 33518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33512 and 33518.

How to find the GCF of 33512 and 33518?

We will first find the prime factorization of 33512 and 33518. After we will calculate the factors of 33512 and 33518 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33518

Prime factors of 33518 are 2, 16759. Prime factorization of 33518 in exponential form is:

33518 = 2¹ × 16759¹

Step-3: Factors of 33512

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

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

Step-4: Factors of 33518

List of positive integer factors of 33518 that divides 33512 without a remainder.

1, 2, 16759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33512 and 33518. The biggest common factor number is the GCF number.
So the greatest common factor 33512 and 33518 is 2.

Also check out the Least Common Multiple of 33512 and 33518