What is the Greatest Common Factor of 32700 and 32707?

Greatest common factor (GCF) of 32700 and 32707 is 1.

GCF(32700,32707) = 1

We will now calculate the prime factors of 32700 and 32707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32700 and 32707.

How to find the GCF of 32700 and 32707?

We will first find the prime factorization of 32700 and 32707. After we will calculate the factors of 32700 and 32707 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32707

Prime factors of 32707 are 32707. Prime factorization of 32707 in exponential form is:

32707 = 32707¹

Step-3: Factors of 32700

List of positive integer factors of 32700 that divides 32700 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

Step-4: Factors of 32707

List of positive integer factors of 32707 that divides 32700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32700 and 32707. The biggest common factor number is the GCF number.
So the greatest common factor 32700 and 32707 is 1.

Also check out the Least Common Multiple of 32700 and 32707