What is the Greatest Common Factor of 20025 and 20040?

Greatest common factor (GCF) of 20025 and 20040 is 15.

GCF(20025,20040) = 15

We will now calculate the prime factors of 20025 and 20040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20025 and 20040.

How to find the GCF of 20025 and 20040?

We will first find the prime factorization of 20025 and 20040. After we will calculate the factors of 20025 and 20040 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 20040

Prime factors of 20040 are 2, 3, 5, 167. Prime factorization of 20040 in exponential form is:

20040 = 2³ × 3¹ × 5¹ × 167¹

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 20040

List of positive integer factors of 20040 that divides 20025 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 167, 334, 501, 668, 835, 1002, 1336, 1670, 2004, 2505, 3340, 4008, 5010, 6680, 10020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20025 and 20040. The biggest common factor number is the GCF number.
So the greatest common factor 20025 and 20040 is 15.

Also check out the Least Common Multiple of 20025 and 20040