What is the Greatest Common Factor of 32694 and 32700?

Greatest common factor (GCF) of 32694 and 32700 is 6.

GCF(32694,32700) = 6

We will now calculate the prime factors of 32694 and 32700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32694 and 32700.

How to find the GCF of 32694 and 32700?

We will first find the prime factorization of 32694 and 32700. After we will calculate the factors of 32694 and 32700 and find the biggest common factor number .

Step-1: Prime Factorization of 32694

Prime factors of 32694 are 2, 3, 5449. Prime factorization of 32694 in exponential form is:

32694 = 2¹ × 3¹ × 5449¹

Step-2: Prime Factorization of 32700

Prime factors of 32700 are 2, 3, 5, 109. Prime factorization of 32700 in exponential form is:

32700 = 2² × 3¹ × 5² × 109¹

Step-3: Factors of 32694

List of positive integer factors of 32694 that divides 32694 without a remainder.

1, 2, 3, 6, 5449, 10898, 16347

Step-4: Factors of 32700

List of positive integer factors of 32700 that divides 32694 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 109, 150, 218, 300, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 2725, 3270, 5450, 6540, 8175, 10900, 16350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32694 and 32700. The biggest common factor number is the GCF number.
So the greatest common factor 32694 and 32700 is 6.

Also check out the Least Common Multiple of 32694 and 32700