What is the Greatest Common Factor of 44064 and 44082?

Greatest common factor (GCF) of 44064 and 44082 is 18.

GCF(44064,44082) = 18

We will now calculate the prime factors of 44064 and 44082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44064 and 44082.

How to find the GCF of 44064 and 44082?

We will first find the prime factorization of 44064 and 44082. After we will calculate the factors of 44064 and 44082 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44082

Prime factors of 44082 are 2, 3, 31, 79. Prime factorization of 44082 in exponential form is:

44082 = 2¹ × 3² × 31¹ × 79¹

Step-3: Factors of 44064

List of positive integer factors of 44064 that divides 44064 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

Step-4: Factors of 44082

List of positive integer factors of 44082 that divides 44064 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 79, 93, 158, 186, 237, 279, 474, 558, 711, 1422, 2449, 4898, 7347, 14694, 22041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44064 and 44082. The biggest common factor number is the GCF number.
So the greatest common factor 44064 and 44082 is 18.

Also check out the Least Common Multiple of 44064 and 44082