What is the Greatest Common Factor of 44476 and 44496?

Greatest common factor (GCF) of 44476 and 44496 is 4.

GCF(44476,44496) = 4

We will now calculate the prime factors of 44476 and 44496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44476 and 44496.

How to find the GCF of 44476 and 44496?

We will first find the prime factorization of 44476 and 44496. After we will calculate the factors of 44476 and 44496 and find the biggest common factor number .

Step-1: Prime Factorization of 44476

Prime factors of 44476 are 2, 11119. Prime factorization of 44476 in exponential form is:

44476 = 2² × 11119¹

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 44476

List of positive integer factors of 44476 that divides 44476 without a remainder.

1, 2, 4, 11119, 22238

Step-4: Factors of 44496

List of positive integer factors of 44496 that divides 44476 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 44476 and 44496. The biggest common factor number is the GCF number.
So the greatest common factor 44476 and 44496 is 4.

Also check out the Least Common Multiple of 44476 and 44496