What is the Greatest Common Factor of 32625 and 32642?

Greatest common factor (GCF) of 32625 and 32642 is 1.

GCF(32625,32642) = 1

We will now calculate the prime factors of 32625 and 32642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32625 and 32642.

How to find the GCF of 32625 and 32642?

We will first find the prime factorization of 32625 and 32642. After we will calculate the factors of 32625 and 32642 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 32642

Prime factors of 32642 are 2, 19, 859. Prime factorization of 32642 in exponential form is:

32642 = 2¹ × 19¹ × 859¹

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 32642

List of positive integer factors of 32642 that divides 32625 without a remainder.

1, 2, 19, 38, 859, 1718, 16321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32625 and 32642. The biggest common factor number is the GCF number.
So the greatest common factor 32625 and 32642 is 1.

Also check out the Least Common Multiple of 32625 and 32642