What is the Greatest Common Factor of 44496 and 44512?

Greatest common factor (GCF) of 44496 and 44512 is 16.

GCF(44496,44512) = 16

We will now calculate the prime factors of 44496 and 44512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44496 and 44512.

How to find the GCF of 44496 and 44512?

We will first find the prime factorization of 44496 and 44512. After we will calculate the factors of 44496 and 44512 and find the biggest common factor number .

Step-1: Prime Factorization of 44496

Prime factors of 44496 are 2, 3, 103. Prime factorization of 44496 in exponential form is:

44496 = 2⁴ × 3³ × 103¹

Step-2: Prime Factorization of 44512

Prime factors of 44512 are 2, 13, 107. Prime factorization of 44512 in exponential form is:

44512 = 2⁵ × 13¹ × 107¹

Step-3: Factors of 44496

List of positive integer factors of 44496 that divides 44496 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 103, 108, 144, 206, 216, 309, 412, 432, 618, 824, 927, 1236, 1648, 1854, 2472, 2781, 3708, 4944, 5562, 7416, 11124, 14832, 22248

Step-4: Factors of 44512

List of positive integer factors of 44512 that divides 44496 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 107, 208, 214, 416, 428, 856, 1391, 1712, 2782, 3424, 5564, 11128, 22256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44496 and 44512. The biggest common factor number is the GCF number.
So the greatest common factor 44496 and 44512 is 16.

Also check out the Least Common Multiple of 44496 and 44512