What is the Greatest Common Factor of 44044 and 44064?

Greatest common factor (GCF) of 44044 and 44064 is 4.

GCF(44044,44064) = 4

We will now calculate the prime factors of 44044 and 44064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44044 and 44064.

How to find the GCF of 44044 and 44064?

We will first find the prime factorization of 44044 and 44064. After we will calculate the factors of 44044 and 44064 and find the biggest common factor number .

Step-1: Prime Factorization of 44044

Prime factors of 44044 are 2, 7, 11, 13. Prime factorization of 44044 in exponential form is:

44044 = 2² × 7¹ × 11² × 13¹

Step-2: Prime Factorization of 44064

Prime factors of 44064 are 2, 3, 17. Prime factorization of 44064 in exponential form is:

44064 = 2⁵ × 3⁴ × 17¹

Step-3: Factors of 44044

List of positive integer factors of 44044 that divides 44044 without a remainder.

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 121, 143, 154, 182, 242, 286, 308, 364, 484, 572, 847, 1001, 1573, 1694, 2002, 3146, 3388, 4004, 6292, 11011, 22022

Step-4: Factors of 44064

List of positive integer factors of 44064 that divides 44044 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 32, 34, 36, 48, 51, 54, 68, 72, 81, 96, 102, 108, 136, 144, 153, 162, 204, 216, 272, 288, 306, 324, 408, 432, 459, 544, 612, 648, 816, 864, 918, 1224, 1296, 1377, 1632, 1836, 2448, 2592, 2754, 3672, 4896, 5508, 7344, 11016, 14688, 22032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44044 and 44064. The biggest common factor number is the GCF number.
So the greatest common factor 44044 and 44064 is 4.

Also check out the Least Common Multiple of 44044 and 44064