What is the Greatest Common Factor of 44214 and 44225?

Greatest common factor (GCF) of 44214 and 44225 is 1.

GCF(44214,44225) = 1

We will now calculate the prime factors of 44214 and 44225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44214 and 44225.

How to find the GCF of 44214 and 44225?

We will first find the prime factorization of 44214 and 44225. After we will calculate the factors of 44214 and 44225 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44225

Prime factors of 44225 are 5, 29, 61. Prime factorization of 44225 in exponential form is:

44225 = 5² × 29¹ × 61¹

Step-3: Factors of 44214

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

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

Step-4: Factors of 44225

List of positive integer factors of 44225 that divides 44214 without a remainder.

1, 5, 25, 29, 61, 145, 305, 725, 1525, 1769, 8845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44214 and 44225. The biggest common factor number is the GCF number.
So the greatest common factor 44214 and 44225 is 1.

Also check out the Least Common Multiple of 44214 and 44225