What is the Greatest Common Factor of 32994 and 33013?

Greatest common factor (GCF) of 32994 and 33013 is 1.

GCF(32994,33013) = 1

We will now calculate the prime factors of 32994 and 33013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32994 and 33013.

How to find the GCF of 32994 and 33013?

We will first find the prime factorization of 32994 and 33013. After we will calculate the factors of 32994 and 33013 and find the biggest common factor number .

Step-1: Prime Factorization of 32994

Prime factors of 32994 are 2, 3, 13, 47. Prime factorization of 32994 in exponential form is:

32994 = 2¹ × 3³ × 13¹ × 47¹

Step-2: Prime Factorization of 33013

Prime factors of 33013 are 33013. Prime factorization of 33013 in exponential form is:

33013 = 33013¹

Step-3: Factors of 32994

List of positive integer factors of 32994 that divides 32994 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 47, 54, 78, 94, 117, 141, 234, 282, 351, 423, 611, 702, 846, 1222, 1269, 1833, 2538, 3666, 5499, 10998, 16497

Step-4: Factors of 33013

List of positive integer factors of 33013 that divides 32994 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32994 and 33013. The biggest common factor number is the GCF number.
So the greatest common factor 32994 and 33013 is 1.

Also check out the Least Common Multiple of 32994 and 33013