What is the Greatest Common Factor of 20025 and 20032?

Greatest common factor (GCF) of 20025 and 20032 is 1.

GCF(20025,20032) = 1

We will now calculate the prime factors of 20025 and 20032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20025 and 20032.

How to find the GCF of 20025 and 20032?

We will first find the prime factorization of 20025 and 20032. After we will calculate the factors of 20025 and 20032 and find the biggest common factor number .

Step-1: Prime Factorization of 20025

Prime factors of 20025 are 3, 5, 89. Prime factorization of 20025 in exponential form is:

20025 = 3² × 5² × 89¹

Step-2: Prime Factorization of 20032

Prime factors of 20032 are 2, 313. Prime factorization of 20032 in exponential form is:

20032 = 2⁶ × 313¹

Step-3: Factors of 20025

List of positive integer factors of 20025 that divides 20025 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 89, 225, 267, 445, 801, 1335, 2225, 4005, 6675

Step-4: Factors of 20032

List of positive integer factors of 20032 that divides 20025 without a remainder.

1, 2, 4, 8, 16, 32, 64, 313, 626, 1252, 2504, 5008, 10016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20025 and 20032. The biggest common factor number is the GCF number.
So the greatest common factor 20025 and 20032 is 1.

Also check out the Least Common Multiple of 20025 and 20032