What is the Greatest Common Factor of 4382 and 4396?

Greatest common factor (GCF) of 4382 and 4396 is 14.

GCF(4382,4396) = 14

We will now calculate the prime factors of 4382 and 4396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4382 and 4396.

How to find the GCF of 4382 and 4396?

We will first find the prime factorization of 4382 and 4396. After we will calculate the factors of 4382 and 4396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4396

Prime factors of 4396 are 2, 7, 157. Prime factorization of 4396 in exponential form is:

4396 = 2² × 7¹ × 157¹

Step-3: Factors of 4382

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

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

Step-4: Factors of 4396

List of positive integer factors of 4396 that divides 4382 without a remainder.

1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4382 and 4396. The biggest common factor number is the GCF number.
So the greatest common factor 4382 and 4396 is 14.

Also check out the Least Common Multiple of 4382 and 4396