What is the Greatest Common Factor of 44736 and 44748?

Greatest common factor (GCF) of 44736 and 44748 is 12.

GCF(44736,44748) = 12

We will now calculate the prime factors of 44736 and 44748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44736 and 44748.

How to find the GCF of 44736 and 44748?

We will first find the prime factorization of 44736 and 44748. After we will calculate the factors of 44736 and 44748 and find the biggest common factor number .

Step-1: Prime Factorization of 44736

Prime factors of 44736 are 2, 3, 233. Prime factorization of 44736 in exponential form is:

44736 = 2⁶ × 3¹ × 233¹

Step-2: Prime Factorization of 44748

Prime factors of 44748 are 2, 3, 11, 113. Prime factorization of 44748 in exponential form is:

44748 = 2² × 3² × 11¹ × 113¹

Step-3: Factors of 44736

List of positive integer factors of 44736 that divides 44736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 233, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 7456, 11184, 14912, 22368

Step-4: Factors of 44748

List of positive integer factors of 44748 that divides 44736 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 113, 132, 198, 226, 339, 396, 452, 678, 1017, 1243, 1356, 2034, 2486, 3729, 4068, 4972, 7458, 11187, 14916, 22374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44736 and 44748. The biggest common factor number is the GCF number.
So the greatest common factor 44736 and 44748 is 12.

Also check out the Least Common Multiple of 44736 and 44748