What is the Greatest Common Factor of 20009 and 20025?

Greatest common factor (GCF) of 20009 and 20025 is 1.

GCF(20009,20025) = 1

We will now calculate the prime factors of 20009 and 20025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20009 and 20025.

How to find the GCF of 20009 and 20025?

We will first find the prime factorization of 20009 and 20025. After we will calculate the factors of 20009 and 20025 and find the biggest common factor number .

Step-1: Prime Factorization of 20009

Prime factors of 20009 are 11, 17, 107. Prime factorization of 20009 in exponential form is:

20009 = 11¹ × 17¹ × 107¹

Step-2: 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-3: Factors of 20009

List of positive integer factors of 20009 that divides 20009 without a remainder.

1, 11, 17, 107, 187, 1177, 1819

Step-4: Factors of 20025

List of positive integer factors of 20025 that divides 20009 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20009 and 20025. The biggest common factor number is the GCF number.
So the greatest common factor 20009 and 20025 is 1.

Also check out the Least Common Multiple of 20009 and 20025