What is the Greatest Common Factor of 41120 and 41124?

Greatest common factor (GCF) of 41120 and 41124 is 4.

GCF(41120,41124) = 4

We will now calculate the prime factors of 41120 and 41124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41120 and 41124.

How to find the GCF of 41120 and 41124?

We will first find the prime factorization of 41120 and 41124. After we will calculate the factors of 41120 and 41124 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 41124

Prime factors of 41124 are 2, 3, 23, 149. Prime factorization of 41124 in exponential form is:

41124 = 2² × 3¹ × 23¹ × 149¹

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 41124

List of positive integer factors of 41124 that divides 41120 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 149, 276, 298, 447, 596, 894, 1788, 3427, 6854, 10281, 13708, 20562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41120 and 41124. The biggest common factor number is the GCF number.
So the greatest common factor 41120 and 41124 is 4.

Also check out the Least Common Multiple of 41120 and 41124