What is the Greatest Common Factor of 32919 and 32925?

Greatest common factor (GCF) of 32919 and 32925 is 3.

GCF(32919,32925) = 3

We will now calculate the prime factors of 32919 and 32925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32919 and 32925.

How to find the GCF of 32919 and 32925?

We will first find the prime factorization of 32919 and 32925. After we will calculate the factors of 32919 and 32925 and find the biggest common factor number .

Step-1: Prime Factorization of 32919

Prime factors of 32919 are 3, 10973. Prime factorization of 32919 in exponential form is:

32919 = 3¹ × 10973¹

Step-2: 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-3: Factors of 32919

List of positive integer factors of 32919 that divides 32919 without a remainder.

1, 3, 10973

Step-4: Factors of 32925

List of positive integer factors of 32925 that divides 32919 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32919 and 32925. The biggest common factor number is the GCF number.
So the greatest common factor 32919 and 32925 is 3.

Also check out the Least Common Multiple of 32919 and 32925