What is the Greatest Common Factor of 44199 and 44214?

Greatest common factor (GCF) of 44199 and 44214 is 3.

GCF(44199,44214) = 3

We will now calculate the prime factors of 44199 and 44214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44199 and 44214.

How to find the GCF of 44199 and 44214?

We will first find the prime factorization of 44199 and 44214. After we will calculate the factors of 44199 and 44214 and find the biggest common factor number .

Step-1: Prime Factorization of 44199

Prime factors of 44199 are 3, 1637. Prime factorization of 44199 in exponential form is:

44199 = 3³ × 1637¹

Step-2: Prime Factorization of 44214

Prime factors of 44214 are 2, 3, 7369. Prime factorization of 44214 in exponential form is:

44214 = 2¹ × 3¹ × 7369¹

Step-3: Factors of 44199

List of positive integer factors of 44199 that divides 44199 without a remainder.

1, 3, 9, 27, 1637, 4911, 14733

Step-4: Factors of 44214

List of positive integer factors of 44214 that divides 44199 without a remainder.

1, 2, 3, 6, 7369, 14738, 22107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44199 and 44214. The biggest common factor number is the GCF number.
So the greatest common factor 44199 and 44214 is 3.

Also check out the Least Common Multiple of 44199 and 44214