What is the Greatest Common Factor of 32925 and 32931?

Greatest common factor (GCF) of 32925 and 32931 is 3.

GCF(32925,32931) = 3

We will now calculate the prime factors of 32925 and 32931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32925 and 32931.

How to find the GCF of 32925 and 32931?

We will first find the prime factorization of 32925 and 32931. After we will calculate the factors of 32925 and 32931 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 32931

Prime factors of 32931 are 3, 3659. Prime factorization of 32931 in exponential form is:

32931 = 3² × 3659¹

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 32931

List of positive integer factors of 32931 that divides 32925 without a remainder.

1, 3, 9, 3659, 10977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32925 and 32931. The biggest common factor number is the GCF number.
So the greatest common factor 32925 and 32931 is 3.

Also check out the Least Common Multiple of 32925 and 32931