What is the Greatest Common Factor of 44196 and 44208?

Greatest common factor (GCF) of 44196 and 44208 is 12.

GCF(44196,44208) = 12

We will now calculate the prime factors of 44196 and 44208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44196 and 44208.

How to find the GCF of 44196 and 44208?

We will first find the prime factorization of 44196 and 44208. After we will calculate the factors of 44196 and 44208 and find the biggest common factor number .

Step-1: Prime Factorization of 44196

Prime factors of 44196 are 2, 3, 29, 127. Prime factorization of 44196 in exponential form is:

44196 = 2² × 3¹ × 29¹ × 127¹

Step-2: Prime Factorization of 44208

Prime factors of 44208 are 2, 3, 307. Prime factorization of 44208 in exponential form is:

44208 = 2⁴ × 3² × 307¹

Step-3: Factors of 44196

List of positive integer factors of 44196 that divides 44196 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 127, 174, 254, 348, 381, 508, 762, 1524, 3683, 7366, 11049, 14732, 22098

Step-4: Factors of 44208

List of positive integer factors of 44208 that divides 44196 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 307, 614, 921, 1228, 1842, 2456, 2763, 3684, 4912, 5526, 7368, 11052, 14736, 22104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44196 and 44208. The biggest common factor number is the GCF number.
So the greatest common factor 44196 and 44208 is 12.

Also check out the Least Common Multiple of 44196 and 44208