What is the Greatest Common Factor of 41152 and 41165?

Greatest common factor (GCF) of 41152 and 41165 is 1.

GCF(41152,41165) = 1

We will now calculate the prime factors of 41152 and 41165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41152 and 41165.

How to find the GCF of 41152 and 41165?

We will first find the prime factorization of 41152 and 41165. After we will calculate the factors of 41152 and 41165 and find the biggest common factor number .

Step-1: Prime Factorization of 41152

Prime factors of 41152 are 2, 643. Prime factorization of 41152 in exponential form is:

41152 = 2⁶ × 643¹

Step-2: Prime Factorization of 41165

Prime factors of 41165 are 5, 8233. Prime factorization of 41165 in exponential form is:

41165 = 5¹ × 8233¹

Step-3: Factors of 41152

List of positive integer factors of 41152 that divides 41152 without a remainder.

1, 2, 4, 8, 16, 32, 64, 643, 1286, 2572, 5144, 10288, 20576

Step-4: Factors of 41165

List of positive integer factors of 41165 that divides 41152 without a remainder.

1, 5, 8233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41152 and 41165. The biggest common factor number is the GCF number.
So the greatest common factor 41152 and 41165 is 1.

Also check out the Least Common Multiple of 41152 and 41165