What is the Greatest Common Factor of 41025 and 41045?

Greatest common factor (GCF) of 41025 and 41045 is 5.

GCF(41025,41045) = 5

We will now calculate the prime factors of 41025 and 41045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41025 and 41045.

How to find the GCF of 41025 and 41045?

We will first find the prime factorization of 41025 and 41045. After we will calculate the factors of 41025 and 41045 and find the biggest common factor number .

Step-1: Prime Factorization of 41025

Prime factors of 41025 are 3, 5, 547. Prime factorization of 41025 in exponential form is:

41025 = 3¹ × 5² × 547¹

Step-2: Prime Factorization of 41045

Prime factors of 41045 are 5, 8209. Prime factorization of 41045 in exponential form is:

41045 = 5¹ × 8209¹

Step-3: Factors of 41025

List of positive integer factors of 41025 that divides 41025 without a remainder.

1, 3, 5, 15, 25, 75, 547, 1641, 2735, 8205, 13675

Step-4: Factors of 41045

List of positive integer factors of 41045 that divides 41025 without a remainder.

1, 5, 8209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41025 and 41045. The biggest common factor number is the GCF number.
So the greatest common factor 41025 and 41045 is 5.

Also check out the Least Common Multiple of 41025 and 41045