What is the Greatest Common Factor of 41752 and 41771?

Greatest common factor (GCF) of 41752 and 41771 is 1.

GCF(41752,41771) = 1

We will now calculate the prime factors of 41752 and 41771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41752 and 41771.

How to find the GCF of 41752 and 41771?

We will first find the prime factorization of 41752 and 41771. After we will calculate the factors of 41752 and 41771 and find the biggest common factor number .

Step-1: Prime Factorization of 41752

Prime factors of 41752 are 2, 17, 307. Prime factorization of 41752 in exponential form is:

41752 = 2³ × 17¹ × 307¹

Step-2: Prime Factorization of 41771

Prime factors of 41771 are 41771. Prime factorization of 41771 in exponential form is:

41771 = 41771¹

Step-3: Factors of 41752

List of positive integer factors of 41752 that divides 41752 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 307, 614, 1228, 2456, 5219, 10438, 20876

Step-4: Factors of 41771

List of positive integer factors of 41771 that divides 41752 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41752 and 41771. The biggest common factor number is the GCF number.
So the greatest common factor 41752 and 41771 is 1.

Also check out the Least Common Multiple of 41752 and 41771