What is the Greatest Common Factor of 41025 and 41034?

Greatest common factor (GCF) of 41025 and 41034 is 3.

GCF(41025,41034) = 3

We will now calculate the prime factors of 41025 and 41034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41025 and 41034.

How to find the GCF of 41025 and 41034?

We will first find the prime factorization of 41025 and 41034. After we will calculate the factors of 41025 and 41034 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 41034

Prime factors of 41034 are 2, 3, 7, 977. Prime factorization of 41034 in exponential form is:

41034 = 2¹ × 3¹ × 7¹ × 977¹

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 41034

List of positive integer factors of 41034 that divides 41025 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 977, 1954, 2931, 5862, 6839, 13678, 20517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41025 and 41034. The biggest common factor number is the GCF number.
So the greatest common factor 41025 and 41034 is 3.

Also check out the Least Common Multiple of 41025 and 41034