What is the Greatest Common Factor of 41048 and 41055?

Greatest common factor (GCF) of 41048 and 41055 is 7.

GCF(41048,41055) = 7

We will now calculate the prime factors of 41048 and 41055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41048 and 41055.

How to find the GCF of 41048 and 41055?

We will first find the prime factorization of 41048 and 41055. After we will calculate the factors of 41048 and 41055 and find the biggest common factor number .

Step-1: Prime Factorization of 41048

Prime factors of 41048 are 2, 7, 733. Prime factorization of 41048 in exponential form is:

41048 = 2³ × 7¹ × 733¹

Step-2: Prime Factorization of 41055

Prime factors of 41055 are 3, 5, 7, 17, 23. Prime factorization of 41055 in exponential form is:

41055 = 3¹ × 5¹ × 7¹ × 17¹ × 23¹

Step-3: Factors of 41048

List of positive integer factors of 41048 that divides 41048 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 733, 1466, 2932, 5131, 5864, 10262, 20524

Step-4: Factors of 41055

List of positive integer factors of 41055 that divides 41048 without a remainder.

1, 3, 5, 7, 15, 17, 21, 23, 35, 51, 69, 85, 105, 115, 119, 161, 255, 345, 357, 391, 483, 595, 805, 1173, 1785, 1955, 2415, 2737, 5865, 8211, 13685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41048 and 41055. The biggest common factor number is the GCF number.
So the greatest common factor 41048 and 41055 is 7.

Also check out the Least Common Multiple of 41048 and 41055