What is the Greatest Common Factor of 44478 and 44496?

Greatest common factor (GCF) of 44478 and 44496 is 18.

GCF(44478,44496) = 18

We will now calculate the prime factors of 44478 and 44496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44478 and 44496.

How to find the GCF of 44478 and 44496?

We will first find the prime factorization of 44478 and 44496. After we will calculate the factors of 44478 and 44496 and find the biggest common factor number .

Step-1: Prime Factorization of 44478

Prime factors of 44478 are 2, 3, 7, 353. Prime factorization of 44478 in exponential form is:

44478 = 2¹ × 3² × 7¹ × 353¹

Step-2: 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-3: Factors of 44478

List of positive integer factors of 44478 that divides 44478 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 353, 706, 1059, 2118, 2471, 3177, 4942, 6354, 7413, 14826, 22239

Step-4: Factors of 44496

List of positive integer factors of 44496 that divides 44478 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44478 and 44496. The biggest common factor number is the GCF number.
So the greatest common factor 44478 and 44496 is 18.

Also check out the Least Common Multiple of 44478 and 44496