What is the Greatest Common Factor of 41025 and 41031?

Greatest common factor (GCF) of 41025 and 41031 is 3.

GCF(41025,41031) = 3

We will now calculate the prime factors of 41025 and 41031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41025 and 41031.

How to find the GCF of 41025 and 41031?

We will first find the prime factorization of 41025 and 41031. After we will calculate the factors of 41025 and 41031 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 41031

Prime factors of 41031 are 3, 47, 97. Prime factorization of 41031 in exponential form is:

41031 = 3² × 47¹ × 97¹

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 41031

List of positive integer factors of 41031 that divides 41025 without a remainder.

1, 3, 9, 47, 97, 141, 291, 423, 873, 4559, 13677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41025 and 41031. The biggest common factor number is the GCF number.
So the greatest common factor 41025 and 41031 is 3.

Also check out the Least Common Multiple of 41025 and 41031