What is the Greatest Common Factor of 44904 and 44916?

Greatest common factor (GCF) of 44904 and 44916 is 12.

GCF(44904,44916) = 12

We will now calculate the prime factors of 44904 and 44916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44904 and 44916.

How to find the GCF of 44904 and 44916?

We will first find the prime factorization of 44904 and 44916. After we will calculate the factors of 44904 and 44916 and find the biggest common factor number .

Step-1: Prime Factorization of 44904

Prime factors of 44904 are 2, 3, 1871. Prime factorization of 44904 in exponential form is:

44904 = 2³ × 3¹ × 1871¹

Step-2: Prime Factorization of 44916

Prime factors of 44916 are 2, 3, 19, 197. Prime factorization of 44916 in exponential form is:

44916 = 2² × 3¹ × 19¹ × 197¹

Step-3: Factors of 44904

List of positive integer factors of 44904 that divides 44904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1871, 3742, 5613, 7484, 11226, 14968, 22452

Step-4: Factors of 44916

List of positive integer factors of 44916 that divides 44904 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 197, 228, 394, 591, 788, 1182, 2364, 3743, 7486, 11229, 14972, 22458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44904 and 44916. The biggest common factor number is the GCF number.
So the greatest common factor 44904 and 44916 is 12.

Also check out the Least Common Multiple of 44904 and 44916