What is the Greatest Common Factor of 32996 and 33010?

Greatest common factor (GCF) of 32996 and 33010 is 2.

GCF(32996,33010) = 2

We will now calculate the prime factors of 32996 and 33010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32996 and 33010.

How to find the GCF of 32996 and 33010?

We will first find the prime factorization of 32996 and 33010. After we will calculate the factors of 32996 and 33010 and find the biggest common factor number .

Step-1: Prime Factorization of 32996

Prime factors of 32996 are 2, 73, 113. Prime factorization of 32996 in exponential form is:

32996 = 2² × 73¹ × 113¹

Step-2: Prime Factorization of 33010

Prime factors of 33010 are 2, 5, 3301. Prime factorization of 33010 in exponential form is:

33010 = 2¹ × 5¹ × 3301¹

Step-3: Factors of 32996

List of positive integer factors of 32996 that divides 32996 without a remainder.

1, 2, 4, 73, 113, 146, 226, 292, 452, 8249, 16498

Step-4: Factors of 33010

List of positive integer factors of 33010 that divides 32996 without a remainder.

1, 2, 5, 10, 3301, 6602, 16505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32996 and 33010. The biggest common factor number is the GCF number.
So the greatest common factor 32996 and 33010 is 2.

Also check out the Least Common Multiple of 32996 and 33010