What is the Greatest Common Factor of 44052 and 44064?

Greatest common factor (GCF) of 44052 and 44064 is 12.

GCF(44052,44064) = 12

We will now calculate the prime factors of 44052 and 44064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44052 and 44064.

How to find the GCF of 44052 and 44064?

We will first find the prime factorization of 44052 and 44064. After we will calculate the factors of 44052 and 44064 and find the biggest common factor number .

Step-1: Prime Factorization of 44052

Prime factors of 44052 are 2, 3, 3671. Prime factorization of 44052 in exponential form is:

44052 = 2² × 3¹ × 3671¹

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 44052

List of positive integer factors of 44052 that divides 44052 without a remainder.

1, 2, 3, 4, 6, 12, 3671, 7342, 11013, 14684, 22026

Step-4: Factors of 44064

List of positive integer factors of 44064 that divides 44052 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 44052 and 44064. The biggest common factor number is the GCF number.
So the greatest common factor 44052 and 44064 is 12.

Also check out the Least Common Multiple of 44052 and 44064