What is the Greatest Common Factor of 4374 and 4382?

Greatest common factor (GCF) of 4374 and 4382 is 2.

GCF(4374,4382) = 2

We will now calculate the prime factors of 4374 and 4382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4374 and 4382.

How to find the GCF of 4374 and 4382?

We will first find the prime factorization of 4374 and 4382. After we will calculate the factors of 4374 and 4382 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 4382

Prime factors of 4382 are 2, 7, 313. Prime factorization of 4382 in exponential form is:

4382 = 2¹ × 7¹ × 313¹

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 4382

List of positive integer factors of 4382 that divides 4374 without a remainder.

1, 2, 7, 14, 313, 626, 2191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4374 and 4382. The biggest common factor number is the GCF number.
So the greatest common factor 4374 and 4382 is 2.

Also check out the Least Common Multiple of 4374 and 4382