What is the Greatest Common Factor of 41348 and 41360?

Greatest common factor (GCF) of 41348 and 41360 is 4.

GCF(41348,41360) = 4

We will now calculate the prime factors of 41348 and 41360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41348 and 41360.

How to find the GCF of 41348 and 41360?

We will first find the prime factorization of 41348 and 41360. After we will calculate the factors of 41348 and 41360 and find the biggest common factor number .

Step-1: Prime Factorization of 41348

Prime factors of 41348 are 2, 10337. Prime factorization of 41348 in exponential form is:

41348 = 2² × 10337¹

Step-2: Prime Factorization of 41360

Prime factors of 41360 are 2, 5, 11, 47. Prime factorization of 41360 in exponential form is:

41360 = 2⁴ × 5¹ × 11¹ × 47¹

Step-3: Factors of 41348

List of positive integer factors of 41348 that divides 41348 without a remainder.

1, 2, 4, 10337, 20674

Step-4: Factors of 41360

List of positive integer factors of 41360 that divides 41348 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 47, 55, 80, 88, 94, 110, 176, 188, 220, 235, 376, 440, 470, 517, 752, 880, 940, 1034, 1880, 2068, 2585, 3760, 4136, 5170, 8272, 10340, 20680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41348 and 41360. The biggest common factor number is the GCF number.
So the greatest common factor 41348 and 41360 is 4.

Also check out the Least Common Multiple of 41348 and 41360