What is the Greatest Common Factor of 4394 and 4408?

Greatest common factor (GCF) of 4394 and 4408 is 2.

GCF(4394,4408) = 2

We will now calculate the prime factors of 4394 and 4408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4394 and 4408.

How to find the GCF of 4394 and 4408?

We will first find the prime factorization of 4394 and 4408. After we will calculate the factors of 4394 and 4408 and find the biggest common factor number .

Step-1: Prime Factorization of 4394

Prime factors of 4394 are 2, 13. Prime factorization of 4394 in exponential form is:

4394 = 2¹ × 13³

Step-2: Prime Factorization of 4408

Prime factors of 4408 are 2, 19, 29. Prime factorization of 4408 in exponential form is:

4408 = 2³ × 19¹ × 29¹

Step-3: Factors of 4394

List of positive integer factors of 4394 that divides 4394 without a remainder.

1, 2, 13, 26, 169, 338, 2197

Step-4: Factors of 4408

List of positive integer factors of 4408 that divides 4394 without a remainder.

1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4394 and 4408. The biggest common factor number is the GCF number.
So the greatest common factor 4394 and 4408 is 2.

Also check out the Least Common Multiple of 4394 and 4408