What is the Greatest Common Factor of 44436 and 44448?

Greatest common factor (GCF) of 44436 and 44448 is 12.

GCF(44436,44448) = 12

We will now calculate the prime factors of 44436 and 44448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44436 and 44448.

How to find the GCF of 44436 and 44448?

We will first find the prime factorization of 44436 and 44448. After we will calculate the factors of 44436 and 44448 and find the biggest common factor number .

Step-1: Prime Factorization of 44436

Prime factors of 44436 are 2, 3, 7, 23. Prime factorization of 44436 in exponential form is:

44436 = 2² × 3¹ × 7¹ × 23²

Step-2: Prime Factorization of 44448

Prime factors of 44448 are 2, 3, 463. Prime factorization of 44448 in exponential form is:

44448 = 2⁵ × 3¹ × 463¹

Step-3: Factors of 44436

List of positive integer factors of 44436 that divides 44436 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 529, 644, 966, 1058, 1587, 1932, 2116, 3174, 3703, 6348, 7406, 11109, 14812, 22218

Step-4: Factors of 44448

List of positive integer factors of 44448 that divides 44436 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 463, 926, 1389, 1852, 2778, 3704, 5556, 7408, 11112, 14816, 22224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44436 and 44448. The biggest common factor number is the GCF number.
So the greatest common factor 44436 and 44448 is 12.

Also check out the Least Common Multiple of 44436 and 44448