What is the Greatest Common Factor of 44049 and 44064?

Greatest common factor (GCF) of 44049 and 44064 is 3.

GCF(44049,44064) = 3

We will now calculate the prime factors of 44049 and 44064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44049 and 44064.

How to find the GCF of 44049 and 44064?

We will first find the prime factorization of 44049 and 44064. After we will calculate the factors of 44049 and 44064 and find the biggest common factor number .

Step-1: Prime Factorization of 44049

Prime factors of 44049 are 3, 14683. Prime factorization of 44049 in exponential form is:

44049 = 3¹ × 14683¹

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 44049

List of positive integer factors of 44049 that divides 44049 without a remainder.

1, 3, 14683

Step-4: Factors of 44064

List of positive integer factors of 44064 that divides 44049 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 44049 and 44064. The biggest common factor number is the GCF number.
So the greatest common factor 44049 and 44064 is 3.

Also check out the Least Common Multiple of 44049 and 44064