What is the Greatest Common Factor of 20025 and 20039?

Greatest common factor (GCF) of 20025 and 20039 is 1.

GCF(20025,20039) = 1

We will now calculate the prime factors of 20025 and 20039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20025 and 20039.

How to find the GCF of 20025 and 20039?

We will first find the prime factorization of 20025 and 20039. After we will calculate the factors of 20025 and 20039 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 20039

Prime factors of 20039 are 29, 691. Prime factorization of 20039 in exponential form is:

20039 = 29¹ × 691¹

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 20039

List of positive integer factors of 20039 that divides 20025 without a remainder.

1, 29, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20025 and 20039. The biggest common factor number is the GCF number.
So the greatest common factor 20025 and 20039 is 1.

Also check out the Least Common Multiple of 20025 and 20039