What is the Greatest Common Factor of 41120 and 41135?

Greatest common factor (GCF) of 41120 and 41135 is 5.

GCF(41120,41135) = 5

We will now calculate the prime factors of 41120 and 41135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41120 and 41135.

How to find the GCF of 41120 and 41135?

We will first find the prime factorization of 41120 and 41135. After we will calculate the factors of 41120 and 41135 and find the biggest common factor number .

Step-1: Prime Factorization of 41120

Prime factors of 41120 are 2, 5, 257. Prime factorization of 41120 in exponential form is:

41120 = 2⁵ × 5¹ × 257¹

Step-2: Prime Factorization of 41135

Prime factors of 41135 are 5, 19, 433. Prime factorization of 41135 in exponential form is:

41135 = 5¹ × 19¹ × 433¹

Step-3: Factors of 41120

List of positive integer factors of 41120 that divides 41120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 257, 514, 1028, 1285, 2056, 2570, 4112, 5140, 8224, 10280, 20560

Step-4: Factors of 41135

List of positive integer factors of 41135 that divides 41120 without a remainder.

1, 5, 19, 95, 433, 2165, 8227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41120 and 41135. The biggest common factor number is the GCF number.
So the greatest common factor 41120 and 41135 is 5.

Also check out the Least Common Multiple of 41120 and 41135