What is the Greatest Common Factor of 4414 and 4422?

Greatest common factor (GCF) of 4414 and 4422 is 2.

GCF(4414,4422) = 2

We will now calculate the prime factors of 4414 and 4422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4414 and 4422.

How to find the GCF of 4414 and 4422?

We will first find the prime factorization of 4414 and 4422. After we will calculate the factors of 4414 and 4422 and find the biggest common factor number .

Step-1: Prime Factorization of 4414

Prime factors of 4414 are 2, 2207. Prime factorization of 4414 in exponential form is:

4414 = 2¹ × 2207¹

Step-2: Prime Factorization of 4422

Prime factors of 4422 are 2, 3, 11, 67. Prime factorization of 4422 in exponential form is:

4422 = 2¹ × 3¹ × 11¹ × 67¹

Step-3: Factors of 4414

List of positive integer factors of 4414 that divides 4414 without a remainder.

1, 2, 2207

Step-4: Factors of 4422

List of positive integer factors of 4422 that divides 4414 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4414 and 4422. The biggest common factor number is the GCF number.
So the greatest common factor 4414 and 4422 is 2.

Also check out the Least Common Multiple of 4414 and 4422