What is the Greatest Common Factor of 41064 and 41072?

Greatest common factor (GCF) of 41064 and 41072 is 8.

GCF(41064,41072) = 8

We will now calculate the prime factors of 41064 and 41072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41064 and 41072.

How to find the GCF of 41064 and 41072?

We will first find the prime factorization of 41064 and 41072. After we will calculate the factors of 41064 and 41072 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41072

Prime factors of 41072 are 2, 17, 151. Prime factorization of 41072 in exponential form is:

41072 = 2⁴ × 17¹ × 151¹

Step-3: Factors of 41064

List of positive integer factors of 41064 that divides 41064 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

Step-4: Factors of 41072

List of positive integer factors of 41072 that divides 41064 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 151, 272, 302, 604, 1208, 2416, 2567, 5134, 10268, 20536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41064 and 41072. The biggest common factor number is the GCF number.
So the greatest common factor 41064 and 41072 is 8.

Also check out the Least Common Multiple of 41064 and 41072