What is the Greatest Common Factor of 32976 and 32994?

Greatest common factor (GCF) of 32976 and 32994 is 18.

GCF(32976,32994) = 18

We will now calculate the prime factors of 32976 and 32994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32976 and 32994.

How to find the GCF of 32976 and 32994?

We will first find the prime factorization of 32976 and 32994. After we will calculate the factors of 32976 and 32994 and find the biggest common factor number .

Step-1: Prime Factorization of 32976

Prime factors of 32976 are 2, 3, 229. Prime factorization of 32976 in exponential form is:

32976 = 2⁴ × 3² × 229¹

Step-2: 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-3: Factors of 32976

List of positive integer factors of 32976 that divides 32976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 229, 458, 687, 916, 1374, 1832, 2061, 2748, 3664, 4122, 5496, 8244, 10992, 16488

Step-4: Factors of 32994

List of positive integer factors of 32994 that divides 32976 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32976 and 32994. The biggest common factor number is the GCF number.
So the greatest common factor 32976 and 32994 is 18.

Also check out the Least Common Multiple of 32976 and 32994