What is the Greatest Common Factor of 41064 and 41084?

Greatest common factor (GCF) of 41064 and 41084 is 4.

GCF(41064,41084) = 4

We will now calculate the prime factors of 41064 and 41084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41064 and 41084.

How to find the GCF of 41064 and 41084?

We will first find the prime factorization of 41064 and 41084. After we will calculate the factors of 41064 and 41084 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 41084

Prime factors of 41084 are 2, 10271. Prime factorization of 41084 in exponential form is:

41084 = 2² × 10271¹

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 41084

List of positive integer factors of 41084 that divides 41064 without a remainder.

1, 2, 4, 10271, 20542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41064 and 41084. The biggest common factor number is the GCF number.
So the greatest common factor 41064 and 41084 is 4.

Also check out the Least Common Multiple of 41064 and 41084