What is the Greatest Common Factor of 41152 and 41159?

Greatest common factor (GCF) of 41152 and 41159 is 1.

GCF(41152,41159) = 1

We will now calculate the prime factors of 41152 and 41159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41152 and 41159.

How to find the GCF of 41152 and 41159?

We will first find the prime factorization of 41152 and 41159. After we will calculate the factors of 41152 and 41159 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 41159

Prime factors of 41159 are 79, 521. Prime factorization of 41159 in exponential form is:

41159 = 79¹ × 521¹

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 41159

List of positive integer factors of 41159 that divides 41152 without a remainder.

1, 79, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41152 and 41159. The biggest common factor number is the GCF number.
So the greatest common factor 41152 and 41159 is 1.

Also check out the Least Common Multiple of 41152 and 41159