What is the Greatest Common Factor of 4374 and 4394?

Greatest common factor (GCF) of 4374 and 4394 is 2.

GCF(4374,4394) = 2

We will now calculate the prime factors of 4374 and 4394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4374 and 4394.

How to find the GCF of 4374 and 4394?

We will first find the prime factorization of 4374 and 4394. After we will calculate the factors of 4374 and 4394 and find the biggest common factor number .

Step-1: Prime Factorization of 4374

Prime factors of 4374 are 2, 3. Prime factorization of 4374 in exponential form is:

4374 = 2¹ × 3⁷

Step-2: Prime Factorization of 4394

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

4394 = 2¹ × 13³

Step-3: Factors of 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187

Step-4: Factors of 4394

List of positive integer factors of 4394 that divides 4374 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4374 and 4394. The biggest common factor number is the GCF number.
So the greatest common factor 4374 and 4394 is 2.

Also check out the Least Common Multiple of 4374 and 4394