What is the Greatest Common Factor of 41144 and 41152?

Greatest common factor (GCF) of 41144 and 41152 is 8.

GCF(41144,41152) = 8

We will now calculate the prime factors of 41144 and 41152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41144 and 41152.

How to find the GCF of 41144 and 41152?

We will first find the prime factorization of 41144 and 41152. After we will calculate the factors of 41144 and 41152 and find the biggest common factor number .

Step-1: Prime Factorization of 41144

Prime factors of 41144 are 2, 37, 139. Prime factorization of 41144 in exponential form is:

41144 = 2³ × 37¹ × 139¹

Step-2: Prime Factorization of 41152

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

41152 = 2⁶ × 643¹

Step-3: Factors of 41144

List of positive integer factors of 41144 that divides 41144 without a remainder.

1, 2, 4, 8, 37, 74, 139, 148, 278, 296, 556, 1112, 5143, 10286, 20572

Step-4: Factors of 41152

List of positive integer factors of 41152 that divides 41144 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41144 and 41152. The biggest common factor number is the GCF number.
So the greatest common factor 41144 and 41152 is 8.

Also check out the Least Common Multiple of 41144 and 41152