What is the Greatest Common Factor of 4422 and 4434?

Greatest common factor (GCF) of 4422 and 4434 is 6.

GCF(4422,4434) = 6

We will now calculate the prime factors of 4422 and 4434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4422 and 4434.

How to find the GCF of 4422 and 4434?

We will first find the prime factorization of 4422 and 4434. After we will calculate the factors of 4422 and 4434 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4434

Prime factors of 4434 are 2, 3, 739. Prime factorization of 4434 in exponential form is:

4434 = 2¹ × 3¹ × 739¹

Step-3: Factors of 4422

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

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

Step-4: Factors of 4434

List of positive integer factors of 4434 that divides 4422 without a remainder.

1, 2, 3, 6, 739, 1478, 2217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4422 and 4434. The biggest common factor number is the GCF number.
So the greatest common factor 4422 and 4434 is 6.

Also check out the Least Common Multiple of 4422 and 4434