What is the Greatest Common Factor of 44205 and 44214?

Greatest common factor (GCF) of 44205 and 44214 is 3.

GCF(44205,44214) = 3

We will now calculate the prime factors of 44205 and 44214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44205 and 44214.

How to find the GCF of 44205 and 44214?

We will first find the prime factorization of 44205 and 44214. After we will calculate the factors of 44205 and 44214 and find the biggest common factor number .

Step-1: Prime Factorization of 44205

Prime factors of 44205 are 3, 5, 7, 421. Prime factorization of 44205 in exponential form is:

44205 = 3¹ × 5¹ × 7¹ × 421¹

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 44205

List of positive integer factors of 44205 that divides 44205 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 421, 1263, 2105, 2947, 6315, 8841, 14735

Step-4: Factors of 44214

List of positive integer factors of 44214 that divides 44205 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44205 and 44214. The biggest common factor number is the GCF number.
So the greatest common factor 44205 and 44214 is 3.

Also check out the Least Common Multiple of 44205 and 44214