What is the Greatest Common Factor of 32619 and 32625?

Greatest common factor (GCF) of 32619 and 32625 is 3.

GCF(32619,32625) = 3

We will now calculate the prime factors of 32619 and 32625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32619 and 32625.

How to find the GCF of 32619 and 32625?

We will first find the prime factorization of 32619 and 32625. After we will calculate the factors of 32619 and 32625 and find the biggest common factor number .

Step-1: Prime Factorization of 32619

Prime factors of 32619 are 3, 83, 131. Prime factorization of 32619 in exponential form is:

32619 = 3¹ × 83¹ × 131¹

Step-2: Prime Factorization of 32625

Prime factors of 32625 are 3, 5, 29. Prime factorization of 32625 in exponential form is:

32625 = 3² × 5³ × 29¹

Step-3: Factors of 32619

List of positive integer factors of 32619 that divides 32619 without a remainder.

1, 3, 83, 131, 249, 393, 10873

Step-4: Factors of 32625

List of positive integer factors of 32625 that divides 32619 without a remainder.

1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 125, 145, 225, 261, 375, 435, 725, 1125, 1305, 2175, 3625, 6525, 10875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32619 and 32625. The biggest common factor number is the GCF number.
So the greatest common factor 32619 and 32625 is 3.

Also check out the Least Common Multiple of 32619 and 32625