What is the Greatest Common Factor of 45025 and 45041?

Greatest common factor (GCF) of 45025 and 45041 is 1.

GCF(45025,45041) = 1

We will now calculate the prime factors of 45025 and 45041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45025 and 45041.

How to find the GCF of 45025 and 45041?

We will first find the prime factorization of 45025 and 45041. After we will calculate the factors of 45025 and 45041 and find the biggest common factor number .

Step-1: Prime Factorization of 45025

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

45025 = 5² × 1801¹

Step-2: Prime Factorization of 45041

Prime factors of 45041 are 73, 617. Prime factorization of 45041 in exponential form is:

45041 = 73¹ × 617¹

Step-3: Factors of 45025

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

1, 5, 25, 1801, 9005

Step-4: Factors of 45041

List of positive integer factors of 45041 that divides 45025 without a remainder.

1, 73, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45025 and 45041. The biggest common factor number is the GCF number.
So the greatest common factor 45025 and 45041 is 1.

Also check out the Least Common Multiple of 45025 and 45041