What is the Greatest Common Factor of 41006 and 41025?

Greatest common factor (GCF) of 41006 and 41025 is 1.

GCF(41006,41025) = 1

We will now calculate the prime factors of 41006 and 41025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41006 and 41025.

How to find the GCF of 41006 and 41025?

We will first find the prime factorization of 41006 and 41025. After we will calculate the factors of 41006 and 41025 and find the biggest common factor number .

Step-1: Prime Factorization of 41006

Prime factors of 41006 are 2, 7, 29, 101. Prime factorization of 41006 in exponential form is:

41006 = 2¹ × 7¹ × 29¹ × 101¹

Step-2: 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-3: Factors of 41006

List of positive integer factors of 41006 that divides 41006 without a remainder.

1, 2, 7, 14, 29, 58, 101, 202, 203, 406, 707, 1414, 2929, 5858, 20503

Step-4: Factors of 41025

List of positive integer factors of 41025 that divides 41006 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41006 and 41025. The biggest common factor number is the GCF number.
So the greatest common factor 41006 and 41025 is 1.

Also check out the Least Common Multiple of 41006 and 41025