What is the Greatest Common Factor of 41048 and 41064?

Greatest common factor (GCF) of 41048 and 41064 is 8.

GCF(41048,41064) = 8

We will now calculate the prime factors of 41048 and 41064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41048 and 41064.

How to find the GCF of 41048 and 41064?

We will first find the prime factorization of 41048 and 41064. After we will calculate the factors of 41048 and 41064 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 41064

Prime factors of 41064 are 2, 3, 29, 59. Prime factorization of 41064 in exponential form is:

41064 = 2³ × 3¹ × 29¹ × 59¹

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 41064

List of positive integer factors of 41064 that divides 41048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 59, 87, 116, 118, 174, 177, 232, 236, 348, 354, 472, 696, 708, 1416, 1711, 3422, 5133, 6844, 10266, 13688, 20532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41048 and 41064. The biggest common factor number is the GCF number.
So the greatest common factor 41048 and 41064 is 8.

Also check out the Least Common Multiple of 41048 and 41064