What is the Greatest Common Factor of 32994 and 32999?

Greatest common factor (GCF) of 32994 and 32999 is 1.

GCF(32994,32999) = 1

We will now calculate the prime factors of 32994 and 32999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32994 and 32999.

How to find the GCF of 32994 and 32999?

We will first find the prime factorization of 32994 and 32999. After we will calculate the factors of 32994 and 32999 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 32999

Prime factors of 32999 are 32999. Prime factorization of 32999 in exponential form is:

32999 = 32999¹

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 32999

List of positive integer factors of 32999 that divides 32994 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32994 and 32999. The biggest common factor number is the GCF number.
So the greatest common factor 32994 and 32999 is 1.

Also check out the Least Common Multiple of 32994 and 32999