What is the Greatest Common Factor of 32625 and 32645?

Greatest common factor (GCF) of 32625 and 32645 is 5.

GCF(32625,32645) = 5

We will now calculate the prime factors of 32625 and 32645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32625 and 32645.

How to find the GCF of 32625 and 32645?

We will first find the prime factorization of 32625 and 32645. After we will calculate the factors of 32625 and 32645 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32645

Prime factors of 32645 are 5, 6529. Prime factorization of 32645 in exponential form is:

32645 = 5¹ × 6529¹

Step-3: Factors of 32625

List of positive integer factors of 32625 that divides 32625 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

Step-4: Factors of 32645

List of positive integer factors of 32645 that divides 32625 without a remainder.

1, 5, 6529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32625 and 32645. The biggest common factor number is the GCF number.
So the greatest common factor 32625 and 32645 is 5.

Also check out the Least Common Multiple of 32625 and 32645