What is the Greatest Common Factor of 10044 and 10064?

Greatest common factor (GCF) of 10044 and 10064 is 4.

GCF(10044,10064) = 4

We will now calculate the prime factors of 10044 and 10064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10044 and 10064.

How to find the GCF of 10044 and 10064?

We will first find the prime factorization of 10044 and 10064. After we will calculate the factors of 10044 and 10064 and find the biggest common factor number .

Step-1: Prime Factorization of 10044

Prime factors of 10044 are 2, 3, 31. Prime factorization of 10044 in exponential form is:

10044 = 2² × 3⁴ × 31¹

Step-2: Prime Factorization of 10064

Prime factors of 10064 are 2, 17, 37. Prime factorization of 10064 in exponential form is:

10064 = 2⁴ × 17¹ × 37¹

Step-3: Factors of 10044

List of positive integer factors of 10044 that divides 10044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 81, 93, 108, 124, 162, 186, 279, 324, 372, 558, 837, 1116, 1674, 2511, 3348, 5022

Step-4: Factors of 10064

List of positive integer factors of 10064 that divides 10044 without a remainder.

1, 2, 4, 8, 16, 17, 34, 37, 68, 74, 136, 148, 272, 296, 592, 629, 1258, 2516, 5032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10044 and 10064. The biggest common factor number is the GCF number.
So the greatest common factor 10044 and 10064 is 4.

Also check out the Least Common Multiple of 10044 and 10064