What is the Greatest Common Factor of 41064 and 41076?

Greatest common factor (GCF) of 41064 and 41076 is 12.

GCF(41064,41076) = 12

We will now calculate the prime factors of 41064 and 41076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41064 and 41076.

How to find the GCF of 41064 and 41076?

We will first find the prime factorization of 41064 and 41076. After we will calculate the factors of 41064 and 41076 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 41076

Prime factors of 41076 are 2, 3, 7, 163. Prime factorization of 41076 in exponential form is:

41076 = 2² × 3² × 7¹ × 163¹

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 41076

List of positive integer factors of 41076 that divides 41064 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 163, 252, 326, 489, 652, 978, 1141, 1467, 1956, 2282, 2934, 3423, 4564, 5868, 6846, 10269, 13692, 20538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41064 and 41076. The biggest common factor number is the GCF number.
So the greatest common factor 41064 and 41076 is 12.

Also check out the Least Common Multiple of 41064 and 41076