What is the Greatest Common Factor of 45006 and 45025?

Greatest common factor (GCF) of 45006 and 45025 is 1.

GCF(45006,45025) = 1

We will now calculate the prime factors of 45006 and 45025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45006 and 45025.

How to find the GCF of 45006 and 45025?

We will first find the prime factorization of 45006 and 45025. After we will calculate the factors of 45006 and 45025 and find the biggest common factor number .

Step-1: Prime Factorization of 45006

Prime factors of 45006 are 2, 3, 13, 577. Prime factorization of 45006 in exponential form is:

45006 = 2¹ × 3¹ × 13¹ × 577¹

Step-2: Prime Factorization of 45025

Prime factors of 45025 are 5, 1801. Prime factorization of 45025 in exponential form is:

45025 = 5² × 1801¹

Step-3: Factors of 45006

List of positive integer factors of 45006 that divides 45006 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 577, 1154, 1731, 3462, 7501, 15002, 22503

Step-4: Factors of 45025

List of positive integer factors of 45025 that divides 45006 without a remainder.

1, 5, 25, 1801, 9005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45006 and 45025. The biggest common factor number is the GCF number.
So the greatest common factor 45006 and 45025 is 1.

Also check out the Least Common Multiple of 45006 and 45025