What is the Greatest Common Factor of 32925 and 32930?

Greatest common factor (GCF) of 32925 and 32930 is 5.

GCF(32925,32930) = 5

We will now calculate the prime factors of 32925 and 32930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32925 and 32930.

How to find the GCF of 32925 and 32930?

We will first find the prime factorization of 32925 and 32930. After we will calculate the factors of 32925 and 32930 and find the biggest common factor number .

Step-1: Prime Factorization of 32925

Prime factors of 32925 are 3, 5, 439. Prime factorization of 32925 in exponential form is:

32925 = 3¹ × 5² × 439¹

Step-2: Prime Factorization of 32930

Prime factors of 32930 are 2, 5, 37, 89. Prime factorization of 32930 in exponential form is:

32930 = 2¹ × 5¹ × 37¹ × 89¹

Step-3: Factors of 32925

List of positive integer factors of 32925 that divides 32925 without a remainder.

1, 3, 5, 15, 25, 75, 439, 1317, 2195, 6585, 10975

Step-4: Factors of 32930

List of positive integer factors of 32930 that divides 32925 without a remainder.

1, 2, 5, 10, 37, 74, 89, 178, 185, 370, 445, 890, 3293, 6586, 16465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32925 and 32930. The biggest common factor number is the GCF number.
So the greatest common factor 32925 and 32930 is 5.

Also check out the Least Common Multiple of 32925 and 32930